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Finding the Third Proportional to 24,447 and 37,793

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Solution

The third proportional to 24,447 and 37,793 is: 58,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,447 : 37,793 = 37,793 : x
  2. Step 2: Convert to fraction form
    24,447/37,793 = 37,793/x
  3. Step 3: Cross multiply
    24,447x = 37,793 × 37,793
  4. Step 4: Simplify right side
    24,447x = 1,428,310,849
  5. Step 5: Solve for x
    x = 1,428,310,849/24,447
  6. Step 6: Final answer
    x = 58,424.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.