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Finding the Third Proportional to 750.13 and 1,560.38

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Solution

The third proportional to 750.13 and 1,560.38 is: 3,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.13 : 1,560.38 = 1,560.38 : x
  2. Step 2: Convert to fraction form
    750.13/1,560.38 = 1,560.38/x
  3. Step 3: Cross multiply
    750.13x = 1,560.38 × 1,560.38
  4. Step 4: Simplify right side
    750.13x = 2,434,770.14
  5. Step 5: Solve for x
    x = 2,434,770.14/750.13
  6. Step 6: Final answer
    x = 3,245.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.