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Finding the Third Proportional to 38,520 and 84,591

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Solution

The third proportional to 38,520 and 84,591 is: 185,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,520 : 84,591 = 84,591 : x
  2. Step 2: Convert to fraction form
    38,520/84,591 = 84,591/x
  3. Step 3: Cross multiply
    38,520x = 84,591 × 84,591
  4. Step 4: Simplify right side
    38,520x = 7,155,637,281
  5. Step 5: Solve for x
    x = 7,155,637,281/38,520
  6. Step 6: Final answer
    x = 185,764.21

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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.