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Finding the Third Proportional to 8,268.75 and 16,672.50

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Solution

The third proportional to 8,268.75 and 16,672.50 is: 33,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.75 : 16,672.50 = 16,672.50 : x
  2. Step 2: Convert to fraction form
    8,268.75/16,672.50 = 16,672.50/x
  3. Step 3: Cross multiply
    8,268.75x = 16,672.50 × 16,672.50
  4. Step 4: Simplify right side
    8,268.75x = 277,972,256.25
  5. Step 5: Solve for x
    x = 277,972,256.25/8,268.75
  6. Step 6: Final answer
    x = 33,617.20

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.