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Finding the Third Proportional to 22,394 and 48,244

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Solution

The third proportional to 22,394 and 48,244 is: 103,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,394 : 48,244 = 48,244 : x
  2. Step 2: Convert to fraction form
    22,394/48,244 = 48,244/x
  3. Step 3: Cross multiply
    22,394x = 48,244 × 48,244
  4. Step 4: Simplify right side
    22,394x = 2,327,483,536
  5. Step 5: Solve for x
    x = 2,327,483,536/22,394
  6. Step 6: Final answer
    x = 103,933.35

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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.