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Finding the Third Proportional to 7,882.13 and 16,726.13

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Solution

The third proportional to 7,882.13 and 16,726.13 is: 35,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.13 : 16,726.13 = 16,726.13 : x
  2. Step 2: Convert to fraction form
    7,882.13/16,726.13 = 16,726.13/x
  3. Step 3: Cross multiply
    7,882.13x = 16,726.13 × 16,726.13
  4. Step 4: Simplify right side
    7,882.13x = 279,763,257.52
  5. Step 5: Solve for x
    x = 279,763,257.52/7,882.13
  6. Step 6: Final answer
    x = 35,493.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.