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Finding the Third Proportional to 7,607 and 10,175

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Solution

The third proportional to 7,607 and 10,175 is: 13,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607 : 10,175 = 10,175 : x
  2. Step 2: Convert to fraction form
    7,607/10,175 = 10,175/x
  3. Step 3: Cross multiply
    7,607x = 10,175 × 10,175
  4. Step 4: Simplify right side
    7,607x = 103,530,625
  5. Step 5: Solve for x
    x = 103,530,625/7,607
  6. Step 6: Final answer
    x = 13,609.92

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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.