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Finding the Third Proportional to 40,843.50 and 86,727

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Solution

The third proportional to 40,843.50 and 86,727 is: 184,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,843.50 : 86,727 = 86,727 : x
  2. Step 2: Convert to fraction form
    40,843.50/86,727 = 86,727/x
  3. Step 3: Cross multiply
    40,843.50x = 86,727 × 86,727
  4. Step 4: Simplify right side
    40,843.50x = 7,521,572,529
  5. Step 5: Solve for x
    x = 7,521,572,529/40,843.50
  6. Step 6: Final answer
    x = 184,155.93

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.