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Finding the Third Proportional to 41,857 and 59,660.50

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Solution

The third proportional to 41,857 and 59,660.50 is: 85,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,857 : 59,660.50 = 59,660.50 : x
  2. Step 2: Convert to fraction form
    41,857/59,660.50 = 59,660.50/x
  3. Step 3: Cross multiply
    41,857x = 59,660.50 × 59,660.50
  4. Step 4: Simplify right side
    41,857x = 3,559,375,260.25
  5. Step 5: Solve for x
    x = 3,559,375,260.25/41,857
  6. Step 6: Final answer
    x = 85,036.56

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