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Finding the Third Proportional to 34,909 and 49,356

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Solution

The third proportional to 34,909 and 49,356 is: 69,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,909 : 49,356 = 49,356 : x
  2. Step 2: Convert to fraction form
    34,909/49,356 = 49,356/x
  3. Step 3: Cross multiply
    34,909x = 49,356 × 49,356
  4. Step 4: Simplify right side
    34,909x = 2,436,014,736
  5. Step 5: Solve for x
    x = 2,436,014,736/34,909
  6. Step 6: Final answer
    x = 69,781.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.