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Finding the Third Proportional to 1,610.75 and 2,449.75

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Solution

The third proportional to 1,610.75 and 2,449.75 is: 3,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.75 : 2,449.75 = 2,449.75 : x
  2. Step 2: Convert to fraction form
    1,610.75/2,449.75 = 2,449.75/x
  3. Step 3: Cross multiply
    1,610.75x = 2,449.75 × 2,449.75
  4. Step 4: Simplify right side
    1,610.75x = 6,001,275.06
  5. Step 5: Solve for x
    x = 6,001,275.06/1,610.75
  6. Step 6: Final answer
    x = 3,725.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.