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Finding the Third Proportional to 24,892 and 37,732

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Solution

The third proportional to 24,892 and 37,732 is: 57,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892 : 37,732 = 37,732 : x
  2. Step 2: Convert to fraction form
    24,892/37,732 = 37,732/x
  3. Step 3: Cross multiply
    24,892x = 37,732 × 37,732
  4. Step 4: Simplify right side
    24,892x = 1,423,703,824
  5. Step 5: Solve for x
    x = 1,423,703,824/24,892
  6. Step 6: Final answer
    x = 57,195.24

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Why These Related Problems?

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