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Finding the Third Proportional to 1,959 and 3,149.50

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Solution

The third proportional to 1,959 and 3,149.50 is: 5,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959 : 3,149.50 = 3,149.50 : x
  2. Step 2: Convert to fraction form
    1,959/3,149.50 = 3,149.50/x
  3. Step 3: Cross multiply
    1,959x = 3,149.50 × 3,149.50
  4. Step 4: Simplify right side
    1,959x = 9,919,350.25
  5. Step 5: Solve for x
    x = 9,919,350.25/1,959
  6. Step 6: Final answer
    x = 5,063.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.