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Finding the Third Proportional to 4,179.38 and 5,594.06

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Solution

The third proportional to 4,179.38 and 5,594.06 is: 7,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.38 : 5,594.06 = 5,594.06 : x
  2. Step 2: Convert to fraction form
    4,179.38/5,594.06 = 5,594.06/x
  3. Step 3: Cross multiply
    4,179.38x = 5,594.06 × 5,594.06
  4. Step 4: Simplify right side
    4,179.38x = 31,293,535.25
  5. Step 5: Solve for x
    x = 31,293,535.25/4,179.38
  6. Step 6: Final answer
    x = 7,487.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.