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Finding the Third Proportional to 1,443.94 and 3,129.19

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Solution

The third proportional to 1,443.94 and 3,129.19 is: 6,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.94 : 3,129.19 = 3,129.19 : x
  2. Step 2: Convert to fraction form
    1,443.94/3,129.19 = 3,129.19/x
  3. Step 3: Cross multiply
    1,443.94x = 3,129.19 × 3,129.19
  4. Step 4: Simplify right side
    1,443.94x = 9,791,814.41
  5. Step 5: Solve for x
    x = 9,791,814.41/1,443.94
  6. Step 6: Final answer
    x = 6,781.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.