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Finding the Third Proportional to 38,356.66 and 82,044.14

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Solution

The third proportional to 38,356.66 and 82,044.14 is: 175,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,356.66 : 82,044.14 = 82,044.14 : x
  2. Step 2: Convert to fraction form
    38,356.66/82,044.14 = 82,044.14/x
  3. Step 3: Cross multiply
    38,356.66x = 82,044.14 × 82,044.14
  4. Step 4: Simplify right side
    38,356.66x = 6,731,241,010.89
  5. Step 5: Solve for x
    x = 6,731,241,010.89/38,356.66
  6. Step 6: Final answer
    x = 175,490.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.