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Finding the Third Proportional to 8,767.13 and 12,331.69

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Solution

The third proportional to 8,767.13 and 12,331.69 is: 17,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.13 : 12,331.69 = 12,331.69 : x
  2. Step 2: Convert to fraction form
    8,767.13/12,331.69 = 12,331.69/x
  3. Step 3: Cross multiply
    8,767.13x = 12,331.69 × 12,331.69
  4. Step 4: Simplify right side
    8,767.13x = 152,070,516.60
  5. Step 5: Solve for x
    x = 152,070,516.60/8,767.13
  6. Step 6: Final answer
    x = 17,345.54

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