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Finding the Third Proportional to 51,991 and 74,349

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Solution

The third proportional to 51,991 and 74,349 is: 106,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,991 : 74,349 = 74,349 : x
  2. Step 2: Convert to fraction form
    51,991/74,349 = 74,349/x
  3. Step 3: Cross multiply
    51,991x = 74,349 × 74,349
  4. Step 4: Simplify right side
    51,991x = 5,527,773,801
  5. Step 5: Solve for x
    x = 5,527,773,801/51,991
  6. Step 6: Final answer
    x = 106,321.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.