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Finding the Third Proportional to 18,734 and 40,922

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Solution

The third proportional to 18,734 and 40,922 is: 89,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,734 : 40,922 = 40,922 : x
  2. Step 2: Convert to fraction form
    18,734/40,922 = 40,922/x
  3. Step 3: Cross multiply
    18,734x = 40,922 × 40,922
  4. Step 4: Simplify right side
    18,734x = 1,674,610,084
  5. Step 5: Solve for x
    x = 1,674,610,084/18,734
  6. Step 6: Final answer
    x = 89,388.82

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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.