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Finding the Third Proportional to 6,013 and 12,331

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Solution

The third proportional to 6,013 and 12,331 is: 25,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013 : 12,331 = 12,331 : x
  2. Step 2: Convert to fraction form
    6,013/12,331 = 12,331/x
  3. Step 3: Cross multiply
    6,013x = 12,331 × 12,331
  4. Step 4: Simplify right side
    6,013x = 152,053,561
  5. Step 5: Solve for x
    x = 152,053,561/6,013
  6. Step 6: Final answer
    x = 25,287.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.