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Finding the Third Proportional to 32,928.50 and 71,121.50

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Solution

The third proportional to 32,928.50 and 71,121.50 is: 153,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,928.50 : 71,121.50 = 71,121.50 : x
  2. Step 2: Convert to fraction form
    32,928.50/71,121.50 = 71,121.50/x
  3. Step 3: Cross multiply
    32,928.50x = 71,121.50 × 71,121.50
  4. Step 4: Simplify right side
    32,928.50x = 5,058,267,762.25
  5. Step 5: Solve for x
    x = 5,058,267,762.25/32,928.50
  6. Step 6: Final answer
    x = 153,613.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.