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Finding the Third Proportional to 34,707 and 80,989.50

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Solution

The third proportional to 34,707 and 80,989.50 is: 188,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,707 : 80,989.50 = 80,989.50 : x
  2. Step 2: Convert to fraction form
    34,707/80,989.50 = 80,989.50/x
  3. Step 3: Cross multiply
    34,707x = 80,989.50 × 80,989.50
  4. Step 4: Simplify right side
    34,707x = 6,559,299,110.25
  5. Step 5: Solve for x
    x = 6,559,299,110.25/34,707
  6. Step 6: Final answer
    x = 188,990.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.