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Finding the Third Proportional to 32,538 and 47,566

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Solution

The third proportional to 32,538 and 47,566 is: 69,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,538 : 47,566 = 47,566 : x
  2. Step 2: Convert to fraction form
    32,538/47,566 = 47,566/x
  3. Step 3: Cross multiply
    32,538x = 47,566 × 47,566
  4. Step 4: Simplify right side
    32,538x = 2,262,524,356
  5. Step 5: Solve for x
    x = 2,262,524,356/32,538
  6. Step 6: Final answer
    x = 69,534.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.