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Finding the Third Proportional to 8,650.50 and 15,891

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Solution

The third proportional to 8,650.50 and 15,891 is: 29,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.50 : 15,891 = 15,891 : x
  2. Step 2: Convert to fraction form
    8,650.50/15,891 = 15,891/x
  3. Step 3: Cross multiply
    8,650.50x = 15,891 × 15,891
  4. Step 4: Simplify right side
    8,650.50x = 252,523,881
  5. Step 5: Solve for x
    x = 252,523,881/8,650.50
  6. Step 6: Final answer
    x = 29,191.82

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.