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Finding the Third Proportional to 32,866.54 and 71,986.54

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Solution

The third proportional to 32,866.54 and 71,986.54 is: 157,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,866.54 : 71,986.54 = 71,986.54 : x
  2. Step 2: Convert to fraction form
    32,866.54/71,986.54 = 71,986.54/x
  3. Step 3: Cross multiply
    32,866.54x = 71,986.54 × 71,986.54
  4. Step 4: Simplify right side
    32,866.54x = 5,182,061,243.80
  5. Step 5: Solve for x
    x = 5,182,061,243.80/32,866.54
  6. Step 6: Final answer
    x = 157,669.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.