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Finding the Third Proportional to 5,729 and 6,593

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Solution

The third proportional to 5,729 and 6,593 is: 7,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729 : 6,593 = 6,593 : x
  2. Step 2: Convert to fraction form
    5,729/6,593 = 6,593/x
  3. Step 3: Cross multiply
    5,729x = 6,593 × 6,593
  4. Step 4: Simplify right side
    5,729x = 43,467,649
  5. Step 5: Solve for x
    x = 43,467,649/5,729
  6. Step 6: Final answer
    x = 7,587.30

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.