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Finding the Third Proportional to 32,666 and 47,738

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Solution

The third proportional to 32,666 and 47,738 is: 69,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,666 : 47,738 = 47,738 : x
  2. Step 2: Convert to fraction form
    32,666/47,738 = 47,738/x
  3. Step 3: Cross multiply
    32,666x = 47,738 × 47,738
  4. Step 4: Simplify right side
    32,666x = 2,278,916,644
  5. Step 5: Solve for x
    x = 2,278,916,644/32,666
  6. Step 6: Final answer
    x = 69,764.18

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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.