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Finding the Third Proportional to 32,479 and 48,932

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Solution

The third proportional to 32,479 and 48,932 is: 73,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,479 : 48,932 = 48,932 : x
  2. Step 2: Convert to fraction form
    32,479/48,932 = 48,932/x
  3. Step 3: Cross multiply
    32,479x = 48,932 × 48,932
  4. Step 4: Simplify right side
    32,479x = 2,394,340,624
  5. Step 5: Solve for x
    x = 2,394,340,624/32,479
  6. Step 6: Final answer
    x = 73,719.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.