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Finding the Third Proportional to 8,202 and 15,864

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Solution

The third proportional to 8,202 and 15,864 is: 30,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202 : 15,864 = 15,864 : x
  2. Step 2: Convert to fraction form
    8,202/15,864 = 15,864/x
  3. Step 3: Cross multiply
    8,202x = 15,864 × 15,864
  4. Step 4: Simplify right side
    8,202x = 251,666,496
  5. Step 5: Solve for x
    x = 251,666,496/8,202
  6. Step 6: Final answer
    x = 30,683.55

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.