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Finding the Third Proportional to 3,136 and 8,020

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Solution

The third proportional to 3,136 and 8,020 is: 20,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136 : 8,020 = 8,020 : x
  2. Step 2: Convert to fraction form
    3,136/8,020 = 8,020/x
  3. Step 3: Cross multiply
    3,136x = 8,020 × 8,020
  4. Step 4: Simplify right side
    3,136x = 64,320,400
  5. Step 5: Solve for x
    x = 64,320,400/3,136
  6. Step 6: Final answer
    x = 20,510.33

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.