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Finding the Third Proportional to 10,729.97 and 15,445.69

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Solution

The third proportional to 10,729.97 and 15,445.69 is: 22,233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.97 : 15,445.69 = 15,445.69 : x
  2. Step 2: Convert to fraction form
    10,729.97/15,445.69 = 15,445.69/x
  3. Step 3: Cross multiply
    10,729.97x = 15,445.69 × 15,445.69
  4. Step 4: Simplify right side
    10,729.97x = 238,569,262.35
  5. Step 5: Solve for x
    x = 238,569,262.35/10,729.97
  6. Step 6: Final answer
    x = 22,233.92

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.