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Finding the Third Proportional to 8,005 and 10,708

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Solution

The third proportional to 8,005 and 10,708 is: 14,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005 : 10,708 = 10,708 : x
  2. Step 2: Convert to fraction form
    8,005/10,708 = 10,708/x
  3. Step 3: Cross multiply
    8,005x = 10,708 × 10,708
  4. Step 4: Simplify right side
    8,005x = 114,661,264
  5. Step 5: Solve for x
    x = 114,661,264/8,005
  6. Step 6: Final answer
    x = 14,323.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.