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Finding the Third Proportional to 18,102 and 38,593.50

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Solution

The third proportional to 18,102 and 38,593.50 is: 82,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102 : 38,593.50 = 38,593.50 : x
  2. Step 2: Convert to fraction form
    18,102/38,593.50 = 38,593.50/x
  3. Step 3: Cross multiply
    18,102x = 38,593.50 × 38,593.50
  4. Step 4: Simplify right side
    18,102x = 1,489,458,242.25
  5. Step 5: Solve for x
    x = 1,489,458,242.25/18,102
  6. Step 6: Final answer
    x = 82,281.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.