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Finding the Third Proportional to 24,732.75 and 38,354.06

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Solution

The third proportional to 24,732.75 and 38,354.06 is: 59,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732.75 : 38,354.06 = 38,354.06 : x
  2. Step 2: Convert to fraction form
    24,732.75/38,354.06 = 38,354.06/x
  3. Step 3: Cross multiply
    24,732.75x = 38,354.06 × 38,354.06
  4. Step 4: Simplify right side
    24,732.75x = 1,471,034,110.25
  5. Step 5: Solve for x
    x = 1,471,034,110.25/24,732.75
  6. Step 6: Final answer
    x = 59,477.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.