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Finding the Third Proportional to 1,711.97 and 2,614.36

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Solution

The third proportional to 1,711.97 and 2,614.36 is: 3,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.97 : 2,614.36 = 2,614.36 : x
  2. Step 2: Convert to fraction form
    1,711.97/2,614.36 = 2,614.36/x
  3. Step 3: Cross multiply
    1,711.97x = 2,614.36 × 2,614.36
  4. Step 4: Simplify right side
    1,711.97x = 6,834,874.94
  5. Step 5: Solve for x
    x = 6,834,874.94/1,711.97
  6. Step 6: Final answer
    x = 3,992.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.