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Finding the Third Proportional to 32,631 and 71,565

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Solution

The third proportional to 32,631 and 71,565 is: 156,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,631 : 71,565 = 71,565 : x
  2. Step 2: Convert to fraction form
    32,631/71,565 = 71,565/x
  3. Step 3: Cross multiply
    32,631x = 71,565 × 71,565
  4. Step 4: Simplify right side
    32,631x = 5,121,549,225
  5. Step 5: Solve for x
    x = 5,121,549,225/32,631
  6. Step 6: Final answer
    x = 156,953.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.