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Finding the Third Proportional to 10,974 and 24,136

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Solution

The third proportional to 10,974 and 24,136 is: 53,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974 : 24,136 = 24,136 : x
  2. Step 2: Convert to fraction form
    10,974/24,136 = 24,136/x
  3. Step 3: Cross multiply
    10,974x = 24,136 × 24,136
  4. Step 4: Simplify right side
    10,974x = 582,546,496
  5. Step 5: Solve for x
    x = 582,546,496/10,974
  6. Step 6: Final answer
    x = 53,084.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.