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Finding the Third Proportional to 7,599 and 17,677

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Solution

The third proportional to 7,599 and 17,677 is: 41,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,599 : 17,677 = 17,677 : x
  2. Step 2: Convert to fraction form
    7,599/17,677 = 17,677/x
  3. Step 3: Cross multiply
    7,599x = 17,677 × 17,677
  4. Step 4: Simplify right side
    7,599x = 312,476,329
  5. Step 5: Solve for x
    x = 312,476,329/7,599
  6. Step 6: Final answer
    x = 41,120.72

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.