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Finding the Third Proportional to 17,511.50 and 26,285

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Solution

The third proportional to 17,511.50 and 26,285 is: 39,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,511.50 : 26,285 = 26,285 : x
  2. Step 2: Convert to fraction form
    17,511.50/26,285 = 26,285/x
  3. Step 3: Cross multiply
    17,511.50x = 26,285 × 26,285
  4. Step 4: Simplify right side
    17,511.50x = 690,901,225
  5. Step 5: Solve for x
    x = 690,901,225/17,511.50
  6. Step 6: Final answer
    x = 39,454.14

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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.