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Finding the Third Proportional to 37,869 and 58,801

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Solution

The third proportional to 37,869 and 58,801 is: 91,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,869 : 58,801 = 58,801 : x
  2. Step 2: Convert to fraction form
    37,869/58,801 = 58,801/x
  3. Step 3: Cross multiply
    37,869x = 58,801 × 58,801
  4. Step 4: Simplify right side
    37,869x = 3,457,557,601
  5. Step 5: Solve for x
    x = 3,457,557,601/37,869
  6. Step 6: Final answer
    x = 91,303.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.