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Finding the Third Proportional to 8,102 and 10,353

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Solution

The third proportional to 8,102 and 10,353 is: 13,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102 : 10,353 = 10,353 : x
  2. Step 2: Convert to fraction form
    8,102/10,353 = 10,353/x
  3. Step 3: Cross multiply
    8,102x = 10,353 × 10,353
  4. Step 4: Simplify right side
    8,102x = 107,184,609
  5. Step 5: Solve for x
    x = 107,184,609/8,102
  6. Step 6: Final answer
    x = 13,229.40

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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.