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Finding the Third Proportional to 17,247.75 and 26,006.75

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Solution

The third proportional to 17,247.75 and 26,006.75 is: 39,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,247.75 : 26,006.75 = 26,006.75 : x
  2. Step 2: Convert to fraction form
    17,247.75/26,006.75 = 26,006.75/x
  3. Step 3: Cross multiply
    17,247.75x = 26,006.75 × 26,006.75
  4. Step 4: Simplify right side
    17,247.75x = 676,351,045.56
  5. Step 5: Solve for x
    x = 676,351,045.56/17,247.75
  6. Step 6: Final answer
    x = 39,213.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.