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Finding the Third Proportional to 40,394.50 and 86,786.50

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Solution

The third proportional to 40,394.50 and 86,786.50 is: 186,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,394.50 : 86,786.50 = 86,786.50 : x
  2. Step 2: Convert to fraction form
    40,394.50/86,786.50 = 86,786.50/x
  3. Step 3: Cross multiply
    40,394.50x = 86,786.50 × 86,786.50
  4. Step 4: Simplify right side
    40,394.50x = 7,531,896,582.25
  5. Step 5: Solve for x
    x = 7,531,896,582.25/40,394.50
  6. Step 6: Final answer
    x = 186,458.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.