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Finding the Third Proportional to 6,123 and 9,175

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Solution

The third proportional to 6,123 and 9,175 is: 13,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123 : 9,175 = 9,175 : x
  2. Step 2: Convert to fraction form
    6,123/9,175 = 9,175/x
  3. Step 3: Cross multiply
    6,123x = 9,175 × 9,175
  4. Step 4: Simplify right side
    6,123x = 84,180,625
  5. Step 5: Solve for x
    x = 84,180,625/6,123
  6. Step 6: Final answer
    x = 13,748.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.