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Finding the Third Proportional to 19,882 and 44,136

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Solution

The third proportional to 19,882 and 44,136 is: 97,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882 : 44,136 = 44,136 : x
  2. Step 2: Convert to fraction form
    19,882/44,136 = 44,136/x
  3. Step 3: Cross multiply
    19,882x = 44,136 × 44,136
  4. Step 4: Simplify right side
    19,882x = 1,947,986,496
  5. Step 5: Solve for x
    x = 1,947,986,496/19,882
  6. Step 6: Final answer
    x = 97,977.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.