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Finding the Third Proportional to 8,086 and 9,202

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Solution

The third proportional to 8,086 and 9,202 is: 10,472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086 : 9,202 = 9,202 : x
  2. Step 2: Convert to fraction form
    8,086/9,202 = 9,202/x
  3. Step 3: Cross multiply
    8,086x = 9,202 × 9,202
  4. Step 4: Simplify right side
    8,086x = 84,676,804
  5. Step 5: Solve for x
    x = 84,676,804/8,086
  6. Step 6: Final answer
    x = 10,472.03

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.