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Finding the Third Proportional to 18,822 and 40,196

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Solution

The third proportional to 18,822 and 40,196 is: 85,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,822 : 40,196 = 40,196 : x
  2. Step 2: Convert to fraction form
    18,822/40,196 = 40,196/x
  3. Step 3: Cross multiply
    18,822x = 40,196 × 40,196
  4. Step 4: Simplify right side
    18,822x = 1,615,718,416
  5. Step 5: Solve for x
    x = 1,615,718,416/18,822
  6. Step 6: Final answer
    x = 85,842.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.