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Finding the Third Proportional to 22,190.63 and 48,208.50

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Solution

The third proportional to 22,190.63 and 48,208.50 is: 104,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,190.63 : 48,208.50 = 48,208.50 : x
  2. Step 2: Convert to fraction form
    22,190.63/48,208.50 = 48,208.50/x
  3. Step 3: Cross multiply
    22,190.63x = 48,208.50 × 48,208.50
  4. Step 4: Simplify right side
    22,190.63x = 2,324,059,472.25
  5. Step 5: Solve for x
    x = 2,324,059,472.25/22,190.63
  6. Step 6: Final answer
    x = 104,731.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.