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Finding the Third Proportional to 18,723 and 40,877

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Solution

The third proportional to 18,723 and 40,877 is: 89,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,723 : 40,877 = 40,877 : x
  2. Step 2: Convert to fraction form
    18,723/40,877 = 40,877/x
  3. Step 3: Cross multiply
    18,723x = 40,877 × 40,877
  4. Step 4: Simplify right side
    18,723x = 1,670,929,129
  5. Step 5: Solve for x
    x = 1,670,929,129/18,723
  6. Step 6: Final answer
    x = 89,244.73

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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.