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Finding the Third Proportional to 1,447.69 and 3,124.88

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Solution

The third proportional to 1,447.69 and 3,124.88 is: 6,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.69 : 3,124.88 = 3,124.88 : x
  2. Step 2: Convert to fraction form
    1,447.69/3,124.88 = 3,124.88/x
  3. Step 3: Cross multiply
    1,447.69x = 3,124.88 × 3,124.88
  4. Step 4: Simplify right side
    1,447.69x = 9,764,843.77
  5. Step 5: Solve for x
    x = 9,764,843.77/1,447.69
  6. Step 6: Final answer
    x = 6,745.13

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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.