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Finding the Third Proportional to 17,152.50 and 25,770

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Solution

The third proportional to 17,152.50 and 25,770 is: 38,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,152.50 : 25,770 = 25,770 : x
  2. Step 2: Convert to fraction form
    17,152.50/25,770 = 25,770/x
  3. Step 3: Cross multiply
    17,152.50x = 25,770 × 25,770
  4. Step 4: Simplify right side
    17,152.50x = 664,092,900
  5. Step 5: Solve for x
    x = 664,092,900/17,152.50
  6. Step 6: Final answer
    x = 38,716.97

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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.