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Finding the Third Proportional to 24,757.13 and 53,459.75

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Solution

The third proportional to 24,757.13 and 53,459.75 is: 115,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,757.13 : 53,459.75 = 53,459.75 : x
  2. Step 2: Convert to fraction form
    24,757.13/53,459.75 = 53,459.75/x
  3. Step 3: Cross multiply
    24,757.13x = 53,459.75 × 53,459.75
  4. Step 4: Simplify right side
    24,757.13x = 2,857,944,870.06
  5. Step 5: Solve for x
    x = 2,857,944,870.06/24,757.13
  6. Step 6: Final answer
    x = 115,439.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.