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Finding the Third Proportional to 38,114 and 82,588

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Solution

The third proportional to 38,114 and 82,588 is: 178,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114 : 82,588 = 82,588 : x
  2. Step 2: Convert to fraction form
    38,114/82,588 = 82,588/x
  3. Step 3: Cross multiply
    38,114x = 82,588 × 82,588
  4. Step 4: Simplify right side
    38,114x = 6,820,777,744
  5. Step 5: Solve for x
    x = 6,820,777,744/38,114
  6. Step 6: Final answer
    x = 178,957.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.