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Finding the Third Proportional to 6,077.75 and 8,691.13

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Solution

The third proportional to 6,077.75 and 8,691.13 is: 12,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.75 : 8,691.13 = 8,691.13 : x
  2. Step 2: Convert to fraction form
    6,077.75/8,691.13 = 8,691.13/x
  3. Step 3: Cross multiply
    6,077.75x = 8,691.13 × 8,691.13
  4. Step 4: Simplify right side
    6,077.75x = 75,535,653.77
  5. Step 5: Solve for x
    x = 75,535,653.77/6,077.75
  6. Step 6: Final answer
    x = 12,428.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.