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Finding the Third Proportional to 11,677.50 and 17,475

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Solution

The third proportional to 11,677.50 and 17,475 is: 26,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.50 : 17,475 = 17,475 : x
  2. Step 2: Convert to fraction form
    11,677.50/17,475 = 17,475/x
  3. Step 3: Cross multiply
    11,677.50x = 17,475 × 17,475
  4. Step 4: Simplify right side
    11,677.50x = 305,375,625
  5. Step 5: Solve for x
    x = 305,375,625/11,677.50
  6. Step 6: Final answer
    x = 26,150.77

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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.