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Finding the Third Proportional to 32,871.75 and 71,962.75

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Solution

The third proportional to 32,871.75 and 71,962.75 is: 157,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,871.75 : 71,962.75 = 71,962.75 : x
  2. Step 2: Convert to fraction form
    32,871.75/71,962.75 = 71,962.75/x
  3. Step 3: Cross multiply
    32,871.75x = 71,962.75 × 71,962.75
  4. Step 4: Simplify right side
    32,871.75x = 5,178,637,387.56
  5. Step 5: Solve for x
    x = 5,178,637,387.56/32,871.75
  6. Step 6: Final answer
    x = 157,540.67

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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.