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Finding the Third Proportional to 1,447.31 and 3,119.91

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Solution

The third proportional to 1,447.31 and 3,119.91 is: 6,725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.31 : 3,119.91 = 3,119.91 : x
  2. Step 2: Convert to fraction form
    1,447.31/3,119.91 = 3,119.91/x
  3. Step 3: Cross multiply
    1,447.31x = 3,119.91 × 3,119.91
  4. Step 4: Simplify right side
    1,447.31x = 9,733,815.01
  5. Step 5: Solve for x
    x = 9,733,815.01/1,447.31
  6. Step 6: Final answer
    x = 6,725.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.