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Finding the Third Proportional to 32,755 and 70,183

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Solution

The third proportional to 32,755 and 70,183 is: 150,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,755 : 70,183 = 70,183 : x
  2. Step 2: Convert to fraction form
    32,755/70,183 = 70,183/x
  3. Step 3: Cross multiply
    32,755x = 70,183 × 70,183
  4. Step 4: Simplify right side
    32,755x = 4,925,653,489
  5. Step 5: Solve for x
    x = 4,925,653,489/32,755
  6. Step 6: Final answer
    x = 150,378.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.