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Finding the Third Proportional to 38,812 and 83,806

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Solution

The third proportional to 38,812 and 83,806 is: 180,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,812 : 83,806 = 83,806 : x
  2. Step 2: Convert to fraction form
    38,812/83,806 = 83,806/x
  3. Step 3: Cross multiply
    38,812x = 83,806 × 83,806
  4. Step 4: Simplify right side
    38,812x = 7,023,445,636
  5. Step 5: Solve for x
    x = 7,023,445,636/38,812
  6. Step 6: Final answer
    x = 180,960.67

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Why These Related Problems?

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