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Finding the Third Proportional to 2,051 and 4,136

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Solution

The third proportional to 2,051 and 4,136 is: 8,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051 : 4,136 = 4,136 : x
  2. Step 2: Convert to fraction form
    2,051/4,136 = 4,136/x
  3. Step 3: Cross multiply
    2,051x = 4,136 × 4,136
  4. Step 4: Simplify right side
    2,051x = 17,106,496
  5. Step 5: Solve for x
    x = 17,106,496/2,051
  6. Step 6: Final answer
    x = 8,340.56

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.