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Finding the Third Proportional to 24,519.38 and 37,734.19

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Solution

The third proportional to 24,519.38 and 37,734.19 is: 58,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,519.38 : 37,734.19 = 37,734.19 : x
  2. Step 2: Convert to fraction form
    24,519.38/37,734.19 = 37,734.19/x
  3. Step 3: Cross multiply
    24,519.38x = 37,734.19 × 37,734.19
  4. Step 4: Simplify right side
    24,519.38x = 1,423,868,906.29
  5. Step 5: Solve for x
    x = 1,423,868,906.29/24,519.38
  6. Step 6: Final answer
    x = 58,071.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.