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Finding the Third Proportional to 3,322.69 and 5,145.19

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Solution

The third proportional to 3,322.69 and 5,145.19 is: 7,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.69 : 5,145.19 = 5,145.19 : x
  2. Step 2: Convert to fraction form
    3,322.69/5,145.19 = 5,145.19/x
  3. Step 3: Cross multiply
    3,322.69x = 5,145.19 × 5,145.19
  4. Step 4: Simplify right side
    3,322.69x = 26,472,954.41
  5. Step 5: Solve for x
    x = 26,472,954.41/3,322.69
  6. Step 6: Final answer
    x = 7,967.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.