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Finding the Third Proportional to 6,653 and 7,589

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Solution

The third proportional to 6,653 and 7,589 is: 8,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653 : 7,589 = 7,589 : x
  2. Step 2: Convert to fraction form
    6,653/7,589 = 7,589/x
  3. Step 3: Cross multiply
    6,653x = 7,589 × 7,589
  4. Step 4: Simplify right side
    6,653x = 57,592,921
  5. Step 5: Solve for x
    x = 57,592,921/6,653
  6. Step 6: Final answer
    x = 8,656.68

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.