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Finding the Third Proportional to 5,388.50 and 8,569

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Solution

The third proportional to 5,388.50 and 8,569 is: 13,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.50 : 8,569 = 8,569 : x
  2. Step 2: Convert to fraction form
    5,388.50/8,569 = 8,569/x
  3. Step 3: Cross multiply
    5,388.50x = 8,569 × 8,569
  4. Step 4: Simplify right side
    5,388.50x = 73,427,761
  5. Step 5: Solve for x
    x = 73,427,761/5,388.50
  6. Step 6: Final answer
    x = 13,626.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.