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Finding the Third Proportional to 6,582 and 9,589

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Solution

The third proportional to 6,582 and 9,589 is: 13,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582 : 9,589 = 9,589 : x
  2. Step 2: Convert to fraction form
    6,582/9,589 = 9,589/x
  3. Step 3: Cross multiply
    6,582x = 9,589 × 9,589
  4. Step 4: Simplify right side
    6,582x = 91,948,921
  5. Step 5: Solve for x
    x = 91,948,921/6,582
  6. Step 6: Final answer
    x = 13,969.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.