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Finding the Third Proportional to 8,034 and 10,725

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Solution

The third proportional to 8,034 and 10,725 is: 14,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034 : 10,725 = 10,725 : x
  2. Step 2: Convert to fraction form
    8,034/10,725 = 10,725/x
  3. Step 3: Cross multiply
    8,034x = 10,725 × 10,725
  4. Step 4: Simplify right side
    8,034x = 115,025,625
  5. Step 5: Solve for x
    x = 115,025,625/8,034
  6. Step 6: Final answer
    x = 14,317.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.