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Finding the Third Proportional to 8,023.64 and 10,648.97

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Solution

The third proportional to 8,023.64 and 10,648.97 is: 14,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.64 : 10,648.97 = 10,648.97 : x
  2. Step 2: Convert to fraction form
    8,023.64/10,648.97 = 10,648.97/x
  3. Step 3: Cross multiply
    8,023.64x = 10,648.97 × 10,648.97
  4. Step 4: Simplify right side
    8,023.64x = 113,400,535.44
  5. Step 5: Solve for x
    x = 113,400,535.44/8,023.64
  6. Step 6: Final answer
    x = 14,133.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.