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Finding the Third Proportional to 24,856 and 37,932

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Solution

The third proportional to 24,856 and 37,932 is: 57,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856 : 37,932 = 37,932 : x
  2. Step 2: Convert to fraction form
    24,856/37,932 = 37,932/x
  3. Step 3: Cross multiply
    24,856x = 37,932 × 37,932
  4. Step 4: Simplify right side
    24,856x = 1,438,836,624
  5. Step 5: Solve for x
    x = 1,438,836,624/24,856
  6. Step 6: Final answer
    x = 57,886.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.