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Finding the Third Proportional to 5,399 and 6,587

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Solution

The third proportional to 5,399 and 6,587 is: 8,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399 : 6,587 = 6,587 : x
  2. Step 2: Convert to fraction form
    5,399/6,587 = 6,587/x
  3. Step 3: Cross multiply
    5,399x = 6,587 × 6,587
  4. Step 4: Simplify right side
    5,399x = 43,388,569
  5. Step 5: Solve for x
    x = 43,388,569/5,399
  6. Step 6: Final answer
    x = 8,036.41

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.