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Finding the Third Proportional to 10,287.95 and 22,110.79

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Solution

The third proportional to 10,287.95 and 22,110.79 is: 47,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.95 : 22,110.79 = 22,110.79 : x
  2. Step 2: Convert to fraction form
    10,287.95/22,110.79 = 22,110.79/x
  3. Step 3: Cross multiply
    10,287.95x = 22,110.79 × 22,110.79
  4. Step 4: Simplify right side
    10,287.95x = 488,886,820.23
  5. Step 5: Solve for x
    x = 488,886,820.23/10,287.95
  6. Step 6: Final answer
    x = 47,520.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.