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Finding the Third Proportional to 10,454.63 and 22,340.25

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Solution

The third proportional to 10,454.63 and 22,340.25 is: 47,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.63 : 22,340.25 = 22,340.25 : x
  2. Step 2: Convert to fraction form
    10,454.63/22,340.25 = 22,340.25/x
  3. Step 3: Cross multiply
    10,454.63x = 22,340.25 × 22,340.25
  4. Step 4: Simplify right side
    10,454.63x = 499,086,770.06
  5. Step 5: Solve for x
    x = 499,086,770.06/10,454.63
  6. Step 6: Final answer
    x = 47,738.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.