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Finding the Third Proportional to 6,589.50 and 9,874

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Solution

The third proportional to 6,589.50 and 9,874 is: 14,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.50 : 9,874 = 9,874 : x
  2. Step 2: Convert to fraction form
    6,589.50/9,874 = 9,874/x
  3. Step 3: Cross multiply
    6,589.50x = 9,874 × 9,874
  4. Step 4: Simplify right side
    6,589.50x = 97,495,876
  5. Step 5: Solve for x
    x = 97,495,876/6,589.50
  6. Step 6: Final answer
    x = 14,795.64

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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.