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Finding the Third Proportional to 49,327 and 69,796

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Solution

The third proportional to 49,327 and 69,796 is: 98,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,327 : 69,796 = 69,796 : x
  2. Step 2: Convert to fraction form
    49,327/69,796 = 69,796/x
  3. Step 3: Cross multiply
    49,327x = 69,796 × 69,796
  4. Step 4: Simplify right side
    49,327x = 4,871,481,616
  5. Step 5: Solve for x
    x = 4,871,481,616/49,327
  6. Step 6: Final answer
    x = 98,758.93

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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.