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Finding the Third Proportional to 8,626.75 and 12,145.13

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Solution

The third proportional to 8,626.75 and 12,145.13 is: 17,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,626.75 : 12,145.13 = 12,145.13 : x
  2. Step 2: Convert to fraction form
    8,626.75/12,145.13 = 12,145.13/x
  3. Step 3: Cross multiply
    8,626.75x = 12,145.13 × 12,145.13
  4. Step 4: Simplify right side
    8,626.75x = 147,504,061.27
  5. Step 5: Solve for x
    x = 147,504,061.27/8,626.75
  6. Step 6: Final answer
    x = 17,098.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.