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Finding the Third Proportional to 27,214 and 39,889

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Solution

The third proportional to 27,214 and 39,889 is: 58,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214 : 39,889 = 39,889 : x
  2. Step 2: Convert to fraction form
    27,214/39,889 = 39,889/x
  3. Step 3: Cross multiply
    27,214x = 39,889 × 39,889
  4. Step 4: Simplify right side
    27,214x = 1,591,132,321
  5. Step 5: Solve for x
    x = 1,591,132,321/27,214
  6. Step 6: Final answer
    x = 58,467.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.