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Finding the Third Proportional to 22,666 and 48,077

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Solution

The third proportional to 22,666 and 48,077 is: 101,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666 : 48,077 = 48,077 : x
  2. Step 2: Convert to fraction form
    22,666/48,077 = 48,077/x
  3. Step 3: Cross multiply
    22,666x = 48,077 × 48,077
  4. Step 4: Simplify right side
    22,666x = 2,311,397,929
  5. Step 5: Solve for x
    x = 2,311,397,929/22,666
  6. Step 6: Final answer
    x = 101,976.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.