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Finding the Third Proportional to 39,957 and 86,826

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Solution

The third proportional to 39,957 and 86,826 is: 188,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,957 : 86,826 = 86,826 : x
  2. Step 2: Convert to fraction form
    39,957/86,826 = 86,826/x
  3. Step 3: Cross multiply
    39,957x = 86,826 × 86,826
  4. Step 4: Simplify right side
    39,957x = 7,538,754,276
  5. Step 5: Solve for x
    x = 7,538,754,276/39,957
  6. Step 6: Final answer
    x = 188,671.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.