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Finding the Third Proportional to 39,023 and 84,286

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Solution

The third proportional to 39,023 and 84,286 is: 182,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,023 : 84,286 = 84,286 : x
  2. Step 2: Convert to fraction form
    39,023/84,286 = 84,286/x
  3. Step 3: Cross multiply
    39,023x = 84,286 × 84,286
  4. Step 4: Simplify right side
    39,023x = 7,104,129,796
  5. Step 5: Solve for x
    x = 7,104,129,796/39,023
  6. Step 6: Final answer
    x = 182,049.81

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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.