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Finding the Third Proportional to 20,822 and 45,854

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Solution

The third proportional to 20,822 and 45,854 is: 100,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822 : 45,854 = 45,854 : x
  2. Step 2: Convert to fraction form
    20,822/45,854 = 45,854/x
  3. Step 3: Cross multiply
    20,822x = 45,854 × 45,854
  4. Step 4: Simplify right side
    20,822x = 2,102,589,316
  5. Step 5: Solve for x
    x = 2,102,589,316/20,822
  6. Step 6: Final answer
    x = 100,979.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.