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Finding the Third Proportional to 6,166.50 and 9,239.25

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Solution

The third proportional to 6,166.50 and 9,239.25 is: 13,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.50 : 9,239.25 = 9,239.25 : x
  2. Step 2: Convert to fraction form
    6,166.50/9,239.25 = 9,239.25/x
  3. Step 3: Cross multiply
    6,166.50x = 9,239.25 × 9,239.25
  4. Step 4: Simplify right side
    6,166.50x = 85,363,740.56
  5. Step 5: Solve for x
    x = 85,363,740.56/6,166.50
  6. Step 6: Final answer
    x = 13,843.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.