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Finding the Third Proportional to 4,180.36 and 5,575.71

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Solution

The third proportional to 4,180.36 and 5,575.71 is: 7,436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.36 : 5,575.71 = 5,575.71 : x
  2. Step 2: Convert to fraction form
    4,180.36/5,575.71 = 5,575.71/x
  3. Step 3: Cross multiply
    4,180.36x = 5,575.71 × 5,575.71
  4. Step 4: Simplify right side
    4,180.36x = 31,088,552.46
  5. Step 5: Solve for x
    x = 31,088,552.46/4,180.36
  6. Step 6: Final answer
    x = 7,436.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.