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Finding the Third Proportional to 6,751.50 and 12,531

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Solution

The third proportional to 6,751.50 and 12,531 is: 23,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.50 : 12,531 = 12,531 : x
  2. Step 2: Convert to fraction form
    6,751.50/12,531 = 12,531/x
  3. Step 3: Cross multiply
    6,751.50x = 12,531 × 12,531
  4. Step 4: Simplify right side
    6,751.50x = 157,025,961
  5. Step 5: Solve for x
    x = 157,025,961/6,751.50
  6. Step 6: Final answer
    x = 23,257.94

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.