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Finding the Third Proportional to 1,449.28 and 3,117.09

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Solution

The third proportional to 1,449.28 and 3,117.09 is: 6,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.28 : 3,117.09 = 3,117.09 : x
  2. Step 2: Convert to fraction form
    1,449.28/3,117.09 = 3,117.09/x
  3. Step 3: Cross multiply
    1,449.28x = 3,117.09 × 3,117.09
  4. Step 4: Simplify right side
    1,449.28x = 9,716,273.45
  5. Step 5: Solve for x
    x = 9,716,273.45/1,449.28
  6. Step 6: Final answer
    x = 6,704.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.