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Finding the Third Proportional to 22,715 and 48,136

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Solution

The third proportional to 22,715 and 48,136 is: 102,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715 : 48,136 = 48,136 : x
  2. Step 2: Convert to fraction form
    22,715/48,136 = 48,136/x
  3. Step 3: Cross multiply
    22,715x = 48,136 × 48,136
  4. Step 4: Simplify right side
    22,715x = 2,317,074,496
  5. Step 5: Solve for x
    x = 2,317,074,496/22,715
  6. Step 6: Final answer
    x = 102,006.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.