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Finding the Third Proportional to 9,175.25 and 12,766.75

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Solution

The third proportional to 9,175.25 and 12,766.75 is: 17,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.25 : 12,766.75 = 12,766.75 : x
  2. Step 2: Convert to fraction form
    9,175.25/12,766.75 = 12,766.75/x
  3. Step 3: Cross multiply
    9,175.25x = 12,766.75 × 12,766.75
  4. Step 4: Simplify right side
    9,175.25x = 162,989,905.56
  5. Step 5: Solve for x
    x = 162,989,905.56/9,175.25
  6. Step 6: Final answer
    x = 17,764.08

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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.