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Finding the Third Proportional to 5,586 and 8,659

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Solution

The third proportional to 5,586 and 8,659 is: 13,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586 : 8,659 = 8,659 : x
  2. Step 2: Convert to fraction form
    5,586/8,659 = 8,659/x
  3. Step 3: Cross multiply
    5,586x = 8,659 × 8,659
  4. Step 4: Simplify right side
    5,586x = 74,978,281
  5. Step 5: Solve for x
    x = 74,978,281/5,586
  6. Step 6: Final answer
    x = 13,422.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.