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Finding the Third Proportional to 29,854.13 and 62,948.25

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Solution

The third proportional to 29,854.13 and 62,948.25 is: 132,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854.13 : 62,948.25 = 62,948.25 : x
  2. Step 2: Convert to fraction form
    29,854.13/62,948.25 = 62,948.25/x
  3. Step 3: Cross multiply
    29,854.13x = 62,948.25 × 62,948.25
  4. Step 4: Simplify right side
    29,854.13x = 3,962,482,178.06
  5. Step 5: Solve for x
    x = 3,962,482,178.06/29,854.13
  6. Step 6: Final answer
    x = 132,728.13

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.