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Finding the Third Proportional to 7,135 and 15,589

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Solution

The third proportional to 7,135 and 15,589 is: 34,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135 : 15,589 = 15,589 : x
  2. Step 2: Convert to fraction form
    7,135/15,589 = 15,589/x
  3. Step 3: Cross multiply
    7,135x = 15,589 × 15,589
  4. Step 4: Simplify right side
    7,135x = 243,016,921
  5. Step 5: Solve for x
    x = 243,016,921/7,135
  6. Step 6: Final answer
    x = 34,059.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.