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Finding the Third Proportional to 28,940 and 38,932

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Solution

The third proportional to 28,940 and 38,932 is: 52,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,940 : 38,932 = 38,932 : x
  2. Step 2: Convert to fraction form
    28,940/38,932 = 38,932/x
  3. Step 3: Cross multiply
    28,940x = 38,932 × 38,932
  4. Step 4: Simplify right side
    28,940x = 1,515,700,624
  5. Step 5: Solve for x
    x = 1,515,700,624/28,940
  6. Step 6: Final answer
    x = 52,373.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.