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Finding the Third Proportional to 27,252 and 42,214

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Solution

The third proportional to 27,252 and 42,214 is: 65,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,252 : 42,214 = 42,214 : x
  2. Step 2: Convert to fraction form
    27,252/42,214 = 42,214/x
  3. Step 3: Cross multiply
    27,252x = 42,214 × 42,214
  4. Step 4: Simplify right side
    27,252x = 1,782,021,796
  5. Step 5: Solve for x
    x = 1,782,021,796/27,252
  6. Step 6: Final answer
    x = 65,390.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.