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Finding the Third Proportional to 32,966 and 49,441

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Solution

The third proportional to 32,966 and 49,441 is: 74,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,966 : 49,441 = 49,441 : x
  2. Step 2: Convert to fraction form
    32,966/49,441 = 49,441/x
  3. Step 3: Cross multiply
    32,966x = 49,441 × 49,441
  4. Step 4: Simplify right side
    32,966x = 2,444,412,481
  5. Step 5: Solve for x
    x = 2,444,412,481/32,966
  6. Step 6: Final answer
    x = 74,149.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.