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Finding the Third Proportional to 9,166.50 and 12,759.75

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Solution

The third proportional to 9,166.50 and 12,759.75 is: 17,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.50 : 12,759.75 = 12,759.75 : x
  2. Step 2: Convert to fraction form
    9,166.50/12,759.75 = 12,759.75/x
  3. Step 3: Cross multiply
    9,166.50x = 12,759.75 × 12,759.75
  4. Step 4: Simplify right side
    9,166.50x = 162,811,220.06
  5. Step 5: Solve for x
    x = 162,811,220.06/9,166.50
  6. Step 6: Final answer
    x = 17,761.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.