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Finding the Third Proportional to 22,960 and 49,421

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Solution

The third proportional to 22,960 and 49,421 is: 106,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960 : 49,421 = 49,421 : x
  2. Step 2: Convert to fraction form
    22,960/49,421 = 49,421/x
  3. Step 3: Cross multiply
    22,960x = 49,421 × 49,421
  4. Step 4: Simplify right side
    22,960x = 2,442,435,241
  5. Step 5: Solve for x
    x = 2,442,435,241/22,960
  6. Step 6: Final answer
    x = 106,377.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.