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Finding the Third Proportional to 24,793 and 37,771

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Solution

The third proportional to 24,793 and 37,771 is: 57,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,793 : 37,771 = 37,771 : x
  2. Step 2: Convert to fraction form
    24,793/37,771 = 37,771/x
  3. Step 3: Cross multiply
    24,793x = 37,771 × 37,771
  4. Step 4: Simplify right side
    24,793x = 1,426,648,441
  5. Step 5: Solve for x
    x = 1,426,648,441/24,793
  6. Step 6: Final answer
    x = 57,542.39

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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.