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Finding the Third Proportional to 4,169.50 and 5,864

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Solution

The third proportional to 4,169.50 and 5,864 is: 8,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.50 : 5,864 = 5,864 : x
  2. Step 2: Convert to fraction form
    4,169.50/5,864 = 5,864/x
  3. Step 3: Cross multiply
    4,169.50x = 5,864 × 5,864
  4. Step 4: Simplify right side
    4,169.50x = 34,386,496
  5. Step 5: Solve for x
    x = 34,386,496/4,169.50
  6. Step 6: Final answer
    x = 8,247.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.