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Finding the Third Proportional to 20,117 and 47,822

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Solution

The third proportional to 20,117 and 47,822 is: 113,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117 : 47,822 = 47,822 : x
  2. Step 2: Convert to fraction form
    20,117/47,822 = 47,822/x
  3. Step 3: Cross multiply
    20,117x = 47,822 × 47,822
  4. Step 4: Simplify right side
    20,117x = 2,286,943,684
  5. Step 5: Solve for x
    x = 2,286,943,684/20,117
  6. Step 6: Final answer
    x = 113,682.14

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.