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Finding the Third Proportional to 39,286 and 84,847

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Solution

The third proportional to 39,286 and 84,847 is: 183,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,286 : 84,847 = 84,847 : x
  2. Step 2: Convert to fraction form
    39,286/84,847 = 84,847/x
  3. Step 3: Cross multiply
    39,286x = 84,847 × 84,847
  4. Step 4: Simplify right side
    39,286x = 7,199,013,409
  5. Step 5: Solve for x
    x = 7,199,013,409/39,286
  6. Step 6: Final answer
    x = 183,246.28

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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.