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Finding the Third Proportional to 3,136 and 6,864

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Solution

The third proportional to 3,136 and 6,864 is: 15,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136 : 6,864 = 6,864 : x
  2. Step 2: Convert to fraction form
    3,136/6,864 = 6,864/x
  3. Step 3: Cross multiply
    3,136x = 6,864 × 6,864
  4. Step 4: Simplify right side
    3,136x = 47,114,496
  5. Step 5: Solve for x
    x = 47,114,496/3,136
  6. Step 6: Final answer
    x = 15,023.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.