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Finding the Third Proportional to 24,013.13 and 35,398.69

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Solution

The third proportional to 24,013.13 and 35,398.69 is: 52,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.13 : 35,398.69 = 35,398.69 : x
  2. Step 2: Convert to fraction form
    24,013.13/35,398.69 = 35,398.69/x
  3. Step 3: Cross multiply
    24,013.13x = 35,398.69 × 35,398.69
  4. Step 4: Simplify right side
    24,013.13x = 1,253,067,076.72
  5. Step 5: Solve for x
    x = 1,253,067,076.72/24,013.13
  6. Step 6: Final answer
    x = 52,182.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.