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Finding the Third Proportional to 36,348 and 49,098

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Solution

The third proportional to 36,348 and 49,098 is: 66,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,348 : 49,098 = 49,098 : x
  2. Step 2: Convert to fraction form
    36,348/49,098 = 49,098/x
  3. Step 3: Cross multiply
    36,348x = 49,098 × 49,098
  4. Step 4: Simplify right side
    36,348x = 2,410,613,604
  5. Step 5: Solve for x
    x = 2,410,613,604/36,348
  6. Step 6: Final answer
    x = 66,320.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.