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Finding the Third Proportional to 42,381 and 58,171.50

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Solution

The third proportional to 42,381 and 58,171.50 is: 79,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,381 : 58,171.50 = 58,171.50 : x
  2. Step 2: Convert to fraction form
    42,381/58,171.50 = 58,171.50/x
  3. Step 3: Cross multiply
    42,381x = 58,171.50 × 58,171.50
  4. Step 4: Simplify right side
    42,381x = 3,383,923,412.25
  5. Step 5: Solve for x
    x = 3,383,923,412.25/42,381
  6. Step 6: Final answer
    x = 79,845.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.