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Finding the Third Proportional to 17,524.69 and 37,240.17

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Solution

The third proportional to 17,524.69 and 37,240.17 is: 79,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.69 : 37,240.17 = 37,240.17 : x
  2. Step 2: Convert to fraction form
    17,524.69/37,240.17 = 37,240.17/x
  3. Step 3: Cross multiply
    17,524.69x = 37,240.17 × 37,240.17
  4. Step 4: Simplify right side
    17,524.69x = 1,386,830,401.28
  5. Step 5: Solve for x
    x = 1,386,830,401.28/17,524.69
  6. Step 6: Final answer
    x = 79,135.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.