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Finding the Third Proportional to 38,983.25 and 82,041.25

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Solution

The third proportional to 38,983.25 and 82,041.25 is: 172,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,983.25 : 82,041.25 = 82,041.25 : x
  2. Step 2: Convert to fraction form
    38,983.25/82,041.25 = 82,041.25/x
  3. Step 3: Cross multiply
    38,983.25x = 82,041.25 × 82,041.25
  4. Step 4: Simplify right side
    38,983.25x = 6,730,766,701.56
  5. Step 5: Solve for x
    x = 6,730,766,701.56/38,983.25
  6. Step 6: Final answer
    x = 172,657.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.