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Finding the Third Proportional to 39,812 and 55,802

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Solution

The third proportional to 39,812 and 55,802 is: 78,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,812 : 55,802 = 55,802 : x
  2. Step 2: Convert to fraction form
    39,812/55,802 = 55,802/x
  3. Step 3: Cross multiply
    39,812x = 55,802 × 55,802
  4. Step 4: Simplify right side
    39,812x = 3,113,863,204
  5. Step 5: Solve for x
    x = 3,113,863,204/39,812
  6. Step 6: Final answer
    x = 78,214.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.