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Finding the Third Proportional to 4,169.75 and 5,864.50

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Solution

The third proportional to 4,169.75 and 5,864.50 is: 8,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.75 : 5,864.50 = 5,864.50 : x
  2. Step 2: Convert to fraction form
    4,169.75/5,864.50 = 5,864.50/x
  3. Step 3: Cross multiply
    4,169.75x = 5,864.50 × 5,864.50
  4. Step 4: Simplify right side
    4,169.75x = 34,392,360.25
  5. Step 5: Solve for x
    x = 34,392,360.25/4,169.75
  6. Step 6: Final answer
    x = 8,248.06

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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.