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Finding the Third Proportional to 40,208.25 and 59,142.38

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Solution

The third proportional to 40,208.25 and 59,142.38 is: 86,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,208.25 : 59,142.38 = 59,142.38 : x
  2. Step 2: Convert to fraction form
    40,208.25/59,142.38 = 59,142.38/x
  3. Step 3: Cross multiply
    40,208.25x = 59,142.38 × 59,142.38
  4. Step 4: Simplify right side
    40,208.25x = 3,497,820,520.64
  5. Step 5: Solve for x
    x = 3,497,820,520.64/40,208.25
  6. Step 6: Final answer
    x = 86,992.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.