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Finding the Third Proportional to 9,144.75 and 13,678.13

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Solution

The third proportional to 9,144.75 and 13,678.13 is: 20,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.75 : 13,678.13 = 13,678.13 : x
  2. Step 2: Convert to fraction form
    9,144.75/13,678.13 = 13,678.13/x
  3. Step 3: Cross multiply
    9,144.75x = 13,678.13 × 13,678.13
  4. Step 4: Simplify right side
    9,144.75x = 187,091,103.52
  5. Step 5: Solve for x
    x = 187,091,103.52/9,144.75
  6. Step 6: Final answer
    x = 20,458.85

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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.