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Finding the Third Proportional to 18,726 and 40,882

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Solution

The third proportional to 18,726 and 40,882 is: 89,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,726 : 40,882 = 40,882 : x
  2. Step 2: Convert to fraction form
    18,726/40,882 = 40,882/x
  3. Step 3: Cross multiply
    18,726x = 40,882 × 40,882
  4. Step 4: Simplify right side
    18,726x = 1,671,337,924
  5. Step 5: Solve for x
    x = 1,671,337,924/18,726
  6. Step 6: Final answer
    x = 89,252.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.