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Finding the Third Proportional to 6,086.25 and 9,195.19

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Solution

The third proportional to 6,086.25 and 9,195.19 is: 13,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.25 : 9,195.19 = 9,195.19 : x
  2. Step 2: Convert to fraction form
    6,086.25/9,195.19 = 9,195.19/x
  3. Step 3: Cross multiply
    6,086.25x = 9,195.19 × 9,195.19
  4. Step 4: Simplify right side
    6,086.25x = 84,551,473.16
  5. Step 5: Solve for x
    x = 84,551,473.16/6,086.25
  6. Step 6: Final answer
    x = 13,892.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.