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Finding the Third Proportional to 27,238 and 42,801

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Solution

The third proportional to 27,238 and 42,801 is: 67,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238 : 42,801 = 42,801 : x
  2. Step 2: Convert to fraction form
    27,238/42,801 = 42,801/x
  3. Step 3: Cross multiply
    27,238x = 42,801 × 42,801
  4. Step 4: Simplify right side
    27,238x = 1,831,925,601
  5. Step 5: Solve for x
    x = 1,831,925,601/27,238
  6. Step 6: Final answer
    x = 67,256.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.