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Finding the Third Proportional to 32,679 and 71,588

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Solution

The third proportional to 32,679 and 71,588 is: 156,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,679 : 71,588 = 71,588 : x
  2. Step 2: Convert to fraction form
    32,679/71,588 = 71,588/x
  3. Step 3: Cross multiply
    32,679x = 71,588 × 71,588
  4. Step 4: Simplify right side
    32,679x = 5,124,841,744
  5. Step 5: Solve for x
    x = 5,124,841,744/32,679
  6. Step 6: Final answer
    x = 156,823.70

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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.