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Finding the Third Proportional to 6,085 and 6,725

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Solution

The third proportional to 6,085 and 6,725 is: 7,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085 : 6,725 = 6,725 : x
  2. Step 2: Convert to fraction form
    6,085/6,725 = 6,725/x
  3. Step 3: Cross multiply
    6,085x = 6,725 × 6,725
  4. Step 4: Simplify right side
    6,085x = 45,225,625
  5. Step 5: Solve for x
    x = 45,225,625/6,085
  6. Step 6: Final answer
    x = 7,432.31

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.