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Finding the Third Proportional to 6,919.17 and 10,726.17

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Solution

The third proportional to 6,919.17 and 10,726.17 is: 16,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.17 : 10,726.17 = 10,726.17 : x
  2. Step 2: Convert to fraction form
    6,919.17/10,726.17 = 10,726.17/x
  3. Step 3: Cross multiply
    6,919.17x = 10,726.17 × 10,726.17
  4. Step 4: Simplify right side
    6,919.17x = 115,050,763.09
  5. Step 5: Solve for x
    x = 115,050,763.09/6,919.17
  6. Step 6: Final answer
    x = 16,627.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.