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Finding the Third Proportional to 39,014 and 86,789

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Solution

The third proportional to 39,014 and 86,789 is: 193,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,014 : 86,789 = 86,789 : x
  2. Step 2: Convert to fraction form
    39,014/86,789 = 86,789/x
  3. Step 3: Cross multiply
    39,014x = 86,789 × 86,789
  4. Step 4: Simplify right side
    39,014x = 7,532,330,521
  5. Step 5: Solve for x
    x = 7,532,330,521/39,014
  6. Step 6: Final answer
    x = 193,067.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.