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Finding the Third Proportional to 38,166 and 81,404.13

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Solution

The third proportional to 38,166 and 81,404.13 is: 173,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,166 : 81,404.13 = 81,404.13 : x
  2. Step 2: Convert to fraction form
    38,166/81,404.13 = 81,404.13/x
  3. Step 3: Cross multiply
    38,166x = 81,404.13 × 81,404.13
  4. Step 4: Simplify right side
    38,166x = 6,626,631,567.02
  5. Step 5: Solve for x
    x = 6,626,631,567.02/38,166
  6. Step 6: Final answer
    x = 173,626.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.