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Finding the Third Proportional to 1,560.52 and 3,393.14

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Solution

The third proportional to 1,560.52 and 3,393.14 is: 7,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.52 : 3,393.14 = 3,393.14 : x
  2. Step 2: Convert to fraction form
    1,560.52/3,393.14 = 3,393.14/x
  3. Step 3: Cross multiply
    1,560.52x = 3,393.14 × 3,393.14
  4. Step 4: Simplify right side
    1,560.52x = 11,513,403.30
  5. Step 5: Solve for x
    x = 11,513,403.30/1,560.52
  6. Step 6: Final answer
    x = 7,377.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.