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Finding the Third Proportional to 22,602 and 49,226

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Solution

The third proportional to 22,602 and 49,226 is: 107,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602 : 49,226 = 49,226 : x
  2. Step 2: Convert to fraction form
    22,602/49,226 = 49,226/x
  3. Step 3: Cross multiply
    22,602x = 49,226 × 49,226
  4. Step 4: Simplify right side
    22,602x = 2,423,199,076
  5. Step 5: Solve for x
    x = 2,423,199,076/22,602
  6. Step 6: Final answer
    x = 107,211.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.