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Finding the Third Proportional to 5,854 and 8,759

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Solution

The third proportional to 5,854 and 8,759 is: 13,105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854 : 8,759 = 8,759 : x
  2. Step 2: Convert to fraction form
    5,854/8,759 = 8,759/x
  3. Step 3: Cross multiply
    5,854x = 8,759 × 8,759
  4. Step 4: Simplify right side
    5,854x = 76,720,081
  5. Step 5: Solve for x
    x = 76,720,081/5,854
  6. Step 6: Final answer
    x = 13,105.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.