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Finding the Third Proportional to 8,202 and 16,710

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Solution

The third proportional to 8,202 and 16,710 is: 34,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202 : 16,710 = 16,710 : x
  2. Step 2: Convert to fraction form
    8,202/16,710 = 16,710/x
  3. Step 3: Cross multiply
    8,202x = 16,710 × 16,710
  4. Step 4: Simplify right side
    8,202x = 279,224,100
  5. Step 5: Solve for x
    x = 279,224,100/8,202
  6. Step 6: Final answer
    x = 34,043.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.