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Finding the Third Proportional to 15,816 and 23,136

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Solution

The third proportional to 15,816 and 23,136 is: 33,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816 : 23,136 = 23,136 : x
  2. Step 2: Convert to fraction form
    15,816/23,136 = 23,136/x
  3. Step 3: Cross multiply
    15,816x = 23,136 × 23,136
  4. Step 4: Simplify right side
    15,816x = 535,274,496
  5. Step 5: Solve for x
    x = 535,274,496/15,816
  6. Step 6: Final answer
    x = 33,843.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.