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Finding the Third Proportional to 27,142 and 41,236

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Solution

The third proportional to 27,142 and 41,236 is: 62,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142 : 41,236 = 41,236 : x
  2. Step 2: Convert to fraction form
    27,142/41,236 = 41,236/x
  3. Step 3: Cross multiply
    27,142x = 41,236 × 41,236
  4. Step 4: Simplify right side
    27,142x = 1,700,407,696
  5. Step 5: Solve for x
    x = 1,700,407,696/27,142
  6. Step 6: Final answer
    x = 62,648.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.