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Finding the Third Proportional to 8,202 and 13,039

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Solution

The third proportional to 8,202 and 13,039 is: 20,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202 : 13,039 = 13,039 : x
  2. Step 2: Convert to fraction form
    8,202/13,039 = 13,039/x
  3. Step 3: Cross multiply
    8,202x = 13,039 × 13,039
  4. Step 4: Simplify right side
    8,202x = 170,015,521
  5. Step 5: Solve for x
    x = 170,015,521/8,202
  6. Step 6: Final answer
    x = 20,728.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.