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Finding the Third Proportional to 9,551.25 and 12,480.75

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Solution

The third proportional to 9,551.25 and 12,480.75 is: 16,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.25 : 12,480.75 = 12,480.75 : x
  2. Step 2: Convert to fraction form
    9,551.25/12,480.75 = 12,480.75/x
  3. Step 3: Cross multiply
    9,551.25x = 12,480.75 × 12,480.75
  4. Step 4: Simplify right side
    9,551.25x = 155,769,120.56
  5. Step 5: Solve for x
    x = 155,769,120.56/9,551.25
  6. Step 6: Final answer
    x = 16,308.77

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.