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Finding the Third Proportional to 22,364 and 48,934

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Solution

The third proportional to 22,364 and 48,934 is: 107,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364 : 48,934 = 48,934 : x
  2. Step 2: Convert to fraction form
    22,364/48,934 = 48,934/x
  3. Step 3: Cross multiply
    22,364x = 48,934 × 48,934
  4. Step 4: Simplify right side
    22,364x = 2,394,536,356
  5. Step 5: Solve for x
    x = 2,394,536,356/22,364
  6. Step 6: Final answer
    x = 107,071.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.