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Finding the Third Proportional to 6,902 and 9,725

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Solution

The third proportional to 6,902 and 9,725 is: 13,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902 : 9,725 = 9,725 : x
  2. Step 2: Convert to fraction form
    6,902/9,725 = 9,725/x
  3. Step 3: Cross multiply
    6,902x = 9,725 × 9,725
  4. Step 4: Simplify right side
    6,902x = 94,575,625
  5. Step 5: Solve for x
    x = 94,575,625/6,902
  6. Step 6: Final answer
    x = 13,702.64

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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.