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Finding the Third Proportional to 17,227.50 and 24,256.50

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Solution

The third proportional to 17,227.50 and 24,256.50 is: 34,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,227.50 : 24,256.50 = 24,256.50 : x
  2. Step 2: Convert to fraction form
    17,227.50/24,256.50 = 24,256.50/x
  3. Step 3: Cross multiply
    17,227.50x = 24,256.50 × 24,256.50
  4. Step 4: Simplify right side
    17,227.50x = 588,377,792.25
  5. Step 5: Solve for x
    x = 588,377,792.25/17,227.50
  6. Step 6: Final answer
    x = 34,153.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.