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Finding the Third Proportional to 6,192.56 and 9,290.11

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Solution

The third proportional to 6,192.56 and 9,290.11 is: 13,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.56 : 9,290.11 = 9,290.11 : x
  2. Step 2: Convert to fraction form
    6,192.56/9,290.11 = 9,290.11/x
  3. Step 3: Cross multiply
    6,192.56x = 9,290.11 × 9,290.11
  4. Step 4: Simplify right side
    6,192.56x = 86,306,132.20
  5. Step 5: Solve for x
    x = 86,306,132.20/6,192.56
  6. Step 6: Final answer
    x = 13,937.06

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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.