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Finding the Third Proportional to 4,100 and 8,065

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Solution

The third proportional to 4,100 and 8,065 is: 15,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100 : 8,065 = 8,065 : x
  2. Step 2: Convert to fraction form
    4,100/8,065 = 8,065/x
  3. Step 3: Cross multiply
    4,100x = 8,065 × 8,065
  4. Step 4: Simplify right side
    4,100x = 65,044,225
  5. Step 5: Solve for x
    x = 65,044,225/4,100
  6. Step 6: Final answer
    x = 15,864.45

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.