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Finding the Third Proportional to 38,489.50 and 84,539

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Solution

The third proportional to 38,489.50 and 84,539 is: 185,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489.50 : 84,539 = 84,539 : x
  2. Step 2: Convert to fraction form
    38,489.50/84,539 = 84,539/x
  3. Step 3: Cross multiply
    38,489.50x = 84,539 × 84,539
  4. Step 4: Simplify right side
    38,489.50x = 7,146,842,521
  5. Step 5: Solve for x
    x = 7,146,842,521/38,489.50
  6. Step 6: Final answer
    x = 185,682.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.