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Finding the Third Proportional to 3,291.47 and 4,434.33

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Solution

The third proportional to 3,291.47 and 4,434.33 is: 5,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.47 : 4,434.33 = 4,434.33 : x
  2. Step 2: Convert to fraction form
    3,291.47/4,434.33 = 4,434.33/x
  3. Step 3: Cross multiply
    3,291.47x = 4,434.33 × 4,434.33
  4. Step 4: Simplify right side
    3,291.47x = 19,663,265.92
  5. Step 5: Solve for x
    x = 19,663,265.92/3,291.47
  6. Step 6: Final answer
    x = 5,974.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.