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Finding the Third Proportional to 38,812 and 84,890

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Solution

The third proportional to 38,812 and 84,890 is: 185,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,812 : 84,890 = 84,890 : x
  2. Step 2: Convert to fraction form
    38,812/84,890 = 84,890/x
  3. Step 3: Cross multiply
    38,812x = 84,890 × 84,890
  4. Step 4: Simplify right side
    38,812x = 7,206,312,100
  5. Step 5: Solve for x
    x = 7,206,312,100/38,812
  6. Step 6: Final answer
    x = 185,672.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.