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Finding the Third Proportional to 4,402 and 6,589

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Solution

The third proportional to 4,402 and 6,589 is: 9,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402 : 6,589 = 6,589 : x
  2. Step 2: Convert to fraction form
    4,402/6,589 = 6,589/x
  3. Step 3: Cross multiply
    4,402x = 6,589 × 6,589
  4. Step 4: Simplify right side
    4,402x = 43,414,921
  5. Step 5: Solve for x
    x = 43,414,921/4,402
  6. Step 6: Final answer
    x = 9,862.54

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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.