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Finding the Third Proportional to 6,144.75 and 9,612.38

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Solution

The third proportional to 6,144.75 and 9,612.38 is: 15,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.75 : 9,612.38 = 9,612.38 : x
  2. Step 2: Convert to fraction form
    6,144.75/9,612.38 = 9,612.38/x
  3. Step 3: Cross multiply
    6,144.75x = 9,612.38 × 9,612.38
  4. Step 4: Simplify right side
    6,144.75x = 92,397,753.14
  5. Step 5: Solve for x
    x = 92,397,753.14/6,144.75
  6. Step 6: Final answer
    x = 15,036.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.