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Finding the Third Proportional to 3,987.67 and 8,666.37

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Solution

The third proportional to 3,987.67 and 8,666.37 is: 18,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.67 : 8,666.37 = 8,666.37 : x
  2. Step 2: Convert to fraction form
    3,987.67/8,666.37 = 8,666.37/x
  3. Step 3: Cross multiply
    3,987.67x = 8,666.37 × 8,666.37
  4. Step 4: Simplify right side
    3,987.67x = 75,105,920.23
  5. Step 5: Solve for x
    x = 75,105,920.23/3,987.67
  6. Step 6: Final answer
    x = 18,834.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.