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Finding the Third Proportional to 49,610 and 67,366

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Solution

The third proportional to 49,610 and 67,366 is: 91,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,610 : 67,366 = 67,366 : x
  2. Step 2: Convert to fraction form
    49,610/67,366 = 67,366/x
  3. Step 3: Cross multiply
    49,610x = 67,366 × 67,366
  4. Step 4: Simplify right side
    49,610x = 4,538,177,956
  5. Step 5: Solve for x
    x = 4,538,177,956/49,610
  6. Step 6: Final answer
    x = 91,477.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.