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Finding the Third Proportional to 22,626 and 41,909

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Solution

The third proportional to 22,626 and 41,909 is: 77,625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626 : 41,909 = 41,909 : x
  2. Step 2: Convert to fraction form
    22,626/41,909 = 41,909/x
  3. Step 3: Cross multiply
    22,626x = 41,909 × 41,909
  4. Step 4: Simplify right side
    22,626x = 1,756,364,281
  5. Step 5: Solve for x
    x = 1,756,364,281/22,626
  6. Step 6: Final answer
    x = 77,625.93

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.