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Finding the Third Proportional to 6,126.89 and 9,165.97

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Solution

The third proportional to 6,126.89 and 9,165.97 is: 13,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.89 : 9,165.97 = 9,165.97 : x
  2. Step 2: Convert to fraction form
    6,126.89/9,165.97 = 9,165.97/x
  3. Step 3: Cross multiply
    6,126.89x = 9,165.97 × 9,165.97
  4. Step 4: Simplify right side
    6,126.89x = 84,015,054.74
  5. Step 5: Solve for x
    x = 84,015,054.74/6,126.89
  6. Step 6: Final answer
    x = 13,712.51

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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.