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Finding the Third Proportional to 4,116.38 and 5,865.75

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Solution

The third proportional to 4,116.38 and 5,865.75 is: 8,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.38 : 5,865.75 = 5,865.75 : x
  2. Step 2: Convert to fraction form
    4,116.38/5,865.75 = 5,865.75/x
  3. Step 3: Cross multiply
    4,116.38x = 5,865.75 × 5,865.75
  4. Step 4: Simplify right side
    4,116.38x = 34,407,023.06
  5. Step 5: Solve for x
    x = 34,407,023.06/4,116.38
  6. Step 6: Final answer
    x = 8,358.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.