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Finding the Third Proportional to 27,236 and 31,556

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Solution

The third proportional to 27,236 and 31,556 is: 36,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,236 : 31,556 = 31,556 : x
  2. Step 2: Convert to fraction form
    27,236/31,556 = 31,556/x
  3. Step 3: Cross multiply
    27,236x = 31,556 × 31,556
  4. Step 4: Simplify right side
    27,236x = 995,781,136
  5. Step 5: Solve for x
    x = 995,781,136/27,236
  6. Step 6: Final answer
    x = 36,561.21

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.