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Finding the Third Proportional to 24,665.25 and 34,901.25

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Solution

The third proportional to 24,665.25 and 34,901.25 is: 49,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,665.25 : 34,901.25 = 34,901.25 : x
  2. Step 2: Convert to fraction form
    24,665.25/34,901.25 = 34,901.25/x
  3. Step 3: Cross multiply
    24,665.25x = 34,901.25 × 34,901.25
  4. Step 4: Simplify right side
    24,665.25x = 1,218,097,251.56
  5. Step 5: Solve for x
    x = 1,218,097,251.56/24,665.25
  6. Step 6: Final answer
    x = 49,385.16

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.