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Finding the Third Proportional to 18,496 and 40,802

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Solution

The third proportional to 18,496 and 40,802 is: 90,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496 : 40,802 = 40,802 : x
  2. Step 2: Convert to fraction form
    18,496/40,802 = 40,802/x
  3. Step 3: Cross multiply
    18,496x = 40,802 × 40,802
  4. Step 4: Simplify right side
    18,496x = 1,664,803,204
  5. Step 5: Solve for x
    x = 1,664,803,204/18,496
  6. Step 6: Final answer
    x = 90,008.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.