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Finding the Third Proportional to 6,234 and 13,149.75

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Solution

The third proportional to 6,234 and 13,149.75 is: 27,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234 : 13,149.75 = 13,149.75 : x
  2. Step 2: Convert to fraction form
    6,234/13,149.75 = 13,149.75/x
  3. Step 3: Cross multiply
    6,234x = 13,149.75 × 13,149.75
  4. Step 4: Simplify right side
    6,234x = 172,915,925.06
  5. Step 5: Solve for x
    x = 172,915,925.06/6,234
  6. Step 6: Final answer
    x = 27,737.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.