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Finding the Third Proportional to 32,045 and 47,802

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Solution

The third proportional to 32,045 and 47,802 is: 71,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,045 : 47,802 = 47,802 : x
  2. Step 2: Convert to fraction form
    32,045/47,802 = 47,802/x
  3. Step 3: Cross multiply
    32,045x = 47,802 × 47,802
  4. Step 4: Simplify right side
    32,045x = 2,285,031,204
  5. Step 5: Solve for x
    x = 2,285,031,204/32,045
  6. Step 6: Final answer
    x = 71,306.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.