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Finding the Third Proportional to 38,488.50 and 84,327

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Solution

The third proportional to 38,488.50 and 84,327 is: 184,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,488.50 : 84,327 = 84,327 : x
  2. Step 2: Convert to fraction form
    38,488.50/84,327 = 84,327/x
  3. Step 3: Cross multiply
    38,488.50x = 84,327 × 84,327
  4. Step 4: Simplify right side
    38,488.50x = 7,111,042,929
  5. Step 5: Solve for x
    x = 7,111,042,929/38,488.50
  6. Step 6: Final answer
    x = 184,757.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.