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Finding the Third Proportional to 40,966.31 and 55,348.59

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Solution

The third proportional to 40,966.31 and 55,348.59 is: 74,780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,966.31 : 55,348.59 = 55,348.59 : x
  2. Step 2: Convert to fraction form
    40,966.31/55,348.59 = 55,348.59/x
  3. Step 3: Cross multiply
    40,966.31x = 55,348.59 × 55,348.59
  4. Step 4: Simplify right side
    40,966.31x = 3,063,466,830.10
  5. Step 5: Solve for x
    x = 3,063,466,830.10/40,966.31
  6. Step 6: Final answer
    x = 74,780.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.