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Finding the Third Proportional to 10,651.50 and 15,867

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Solution

The third proportional to 10,651.50 and 15,867 is: 23,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.50 : 15,867 = 15,867 : x
  2. Step 2: Convert to fraction form
    10,651.50/15,867 = 15,867/x
  3. Step 3: Cross multiply
    10,651.50x = 15,867 × 15,867
  4. Step 4: Simplify right side
    10,651.50x = 251,761,689
  5. Step 5: Solve for x
    x = 251,761,689/10,651.50
  6. Step 6: Final answer
    x = 23,636.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.