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Finding the Third Proportional to 24,168.38 and 37,346.06

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Solution

The third proportional to 24,168.38 and 37,346.06 is: 57,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,168.38 : 37,346.06 = 37,346.06 : x
  2. Step 2: Convert to fraction form
    24,168.38/37,346.06 = 37,346.06/x
  3. Step 3: Cross multiply
    24,168.38x = 37,346.06 × 37,346.06
  4. Step 4: Simplify right side
    24,168.38x = 1,394,728,384.25
  5. Step 5: Solve for x
    x = 1,394,728,384.25/24,168.38
  6. Step 6: Final answer
    x = 57,708.82

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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.