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Finding the Third Proportional to 6,012.50 and 13,919

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Solution

The third proportional to 6,012.50 and 13,919 is: 32,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.50 : 13,919 = 13,919 : x
  2. Step 2: Convert to fraction form
    6,012.50/13,919 = 13,919/x
  3. Step 3: Cross multiply
    6,012.50x = 13,919 × 13,919
  4. Step 4: Simplify right side
    6,012.50x = 193,738,561
  5. Step 5: Solve for x
    x = 193,738,561/6,012.50
  6. Step 6: Final answer
    x = 32,222.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.