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Finding the Third Proportional to 35,658.50 and 49,857

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Solution

The third proportional to 35,658.50 and 49,857 is: 69,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,658.50 : 49,857 = 49,857 : x
  2. Step 2: Convert to fraction form
    35,658.50/49,857 = 49,857/x
  3. Step 3: Cross multiply
    35,658.50x = 49,857 × 49,857
  4. Step 4: Simplify right side
    35,658.50x = 2,485,720,449
  5. Step 5: Solve for x
    x = 2,485,720,449/35,658.50
  6. Step 6: Final answer
    x = 69,709.06

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.