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Finding the Third Proportional to 27,254 and 36,625

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Solution

The third proportional to 27,254 and 36,625 is: 49,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,254 : 36,625 = 36,625 : x
  2. Step 2: Convert to fraction form
    27,254/36,625 = 36,625/x
  3. Step 3: Cross multiply
    27,254x = 36,625 × 36,625
  4. Step 4: Simplify right side
    27,254x = 1,341,390,625
  5. Step 5: Solve for x
    x = 1,341,390,625/27,254
  6. Step 6: Final answer
    x = 49,218.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.