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Finding the Third Proportional to 14,377.82 and 19,717.17

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Solution

The third proportional to 14,377.82 and 19,717.17 is: 27,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.82 : 19,717.17 = 19,717.17 : x
  2. Step 2: Convert to fraction form
    14,377.82/19,717.17 = 19,717.17/x
  3. Step 3: Cross multiply
    14,377.82x = 19,717.17 × 19,717.17
  4. Step 4: Simplify right side
    14,377.82x = 388,766,866.75
  5. Step 5: Solve for x
    x = 388,766,866.75/14,377.82
  6. Step 6: Final answer
    x = 27,039.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.