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Finding the Third Proportional to 17,578.13 and 37,963.13

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Solution

The third proportional to 17,578.13 and 37,963.13 is: 81,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.13 : 37,963.13 = 37,963.13 : x
  2. Step 2: Convert to fraction form
    17,578.13/37,963.13 = 37,963.13/x
  3. Step 3: Cross multiply
    17,578.13x = 37,963.13 × 37,963.13
  4. Step 4: Simplify right side
    17,578.13x = 1,441,198,859.77
  5. Step 5: Solve for x
    x = 1,441,198,859.77/17,578.13
  6. Step 6: Final answer
    x = 81,988.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.