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Finding the Third Proportional to 18,174.38 and 38,506.50

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Solution

The third proportional to 18,174.38 and 38,506.50 is: 81,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,174.38 : 38,506.50 = 38,506.50 : x
  2. Step 2: Convert to fraction form
    18,174.38/38,506.50 = 38,506.50/x
  3. Step 3: Cross multiply
    18,174.38x = 38,506.50 × 38,506.50
  4. Step 4: Simplify right side
    18,174.38x = 1,482,750,542.25
  5. Step 5: Solve for x
    x = 1,482,750,542.25/18,174.38
  6. Step 6: Final answer
    x = 81,584.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.