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Finding the Third Proportional to 17,788 and 48,394

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Solution

The third proportional to 17,788 and 48,394 is: 131,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788 : 48,394 = 48,394 : x
  2. Step 2: Convert to fraction form
    17,788/48,394 = 48,394/x
  3. Step 3: Cross multiply
    17,788x = 48,394 × 48,394
  4. Step 4: Simplify right side
    17,788x = 2,341,979,236
  5. Step 5: Solve for x
    x = 2,341,979,236/17,788
  6. Step 6: Final answer
    x = 131,660.63

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.