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Finding the Third Proportional to 24,391.13 and 37,072.69

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Solution

The third proportional to 24,391.13 and 37,072.69 is: 56,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,391.13 : 37,072.69 = 37,072.69 : x
  2. Step 2: Convert to fraction form
    24,391.13/37,072.69 = 37,072.69/x
  3. Step 3: Cross multiply
    24,391.13x = 37,072.69 × 37,072.69
  4. Step 4: Simplify right side
    24,391.13x = 1,374,384,158.47
  5. Step 5: Solve for x
    x = 1,374,384,158.47/24,391.13
  6. Step 6: Final answer
    x = 56,347.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.