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Finding the Third Proportional to 32,932 and 62,576

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Solution

The third proportional to 32,932 and 62,576 is: 118,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,932 : 62,576 = 62,576 : x
  2. Step 2: Convert to fraction form
    32,932/62,576 = 62,576/x
  3. Step 3: Cross multiply
    32,932x = 62,576 × 62,576
  4. Step 4: Simplify right side
    32,932x = 3,915,755,776
  5. Step 5: Solve for x
    x = 3,915,755,776/32,932
  6. Step 6: Final answer
    x = 118,904.28

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.