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Finding the Third Proportional to 8,103.38 and 10,353.56

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Solution

The third proportional to 8,103.38 and 10,353.56 is: 13,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.38 : 10,353.56 = 10,353.56 : x
  2. Step 2: Convert to fraction form
    8,103.38/10,353.56 = 10,353.56/x
  3. Step 3: Cross multiply
    8,103.38x = 10,353.56 × 10,353.56
  4. Step 4: Simplify right side
    8,103.38x = 107,196,256.44
  5. Step 5: Solve for x
    x = 107,196,256.44/8,103.38
  6. Step 6: Final answer
    x = 13,228.59

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.