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Finding the Third Proportional to 1,744.88 and 2,665.13

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Solution

The third proportional to 1,744.88 and 2,665.13 is: 4,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.88 : 2,665.13 = 2,665.13 : x
  2. Step 2: Convert to fraction form
    1,744.88/2,665.13 = 2,665.13/x
  3. Step 3: Cross multiply
    1,744.88x = 2,665.13 × 2,665.13
  4. Step 4: Simplify right side
    1,744.88x = 7,102,891.27
  5. Step 5: Solve for x
    x = 7,102,891.27/1,744.88
  6. Step 6: Final answer
    x = 4,070.72

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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.