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Finding the Third Proportional to 32,350 and 49,966

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Solution

The third proportional to 32,350 and 49,966 is: 77,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,350 : 49,966 = 49,966 : x
  2. Step 2: Convert to fraction form
    32,350/49,966 = 49,966/x
  3. Step 3: Cross multiply
    32,350x = 49,966 × 49,966
  4. Step 4: Simplify right side
    32,350x = 2,496,601,156
  5. Step 5: Solve for x
    x = 2,496,601,156/32,350
  6. Step 6: Final answer
    x = 77,174.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.