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Finding the Third Proportional to 38,774 and 83,737

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Solution

The third proportional to 38,774 and 83,737 is: 180,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774 : 83,737 = 83,737 : x
  2. Step 2: Convert to fraction form
    38,774/83,737 = 83,737/x
  3. Step 3: Cross multiply
    38,774x = 83,737 × 83,737
  4. Step 4: Simplify right side
    38,774x = 7,011,885,169
  5. Step 5: Solve for x
    x = 7,011,885,169/38,774
  6. Step 6: Final answer
    x = 180,839.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.