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Finding the Third Proportional to 27,012 and 40,408

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Solution

The third proportional to 27,012 and 40,408 is: 60,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,012 : 40,408 = 40,408 : x
  2. Step 2: Convert to fraction form
    27,012/40,408 = 40,408/x
  3. Step 3: Cross multiply
    27,012x = 40,408 × 40,408
  4. Step 4: Simplify right side
    27,012x = 1,632,806,464
  5. Step 5: Solve for x
    x = 1,632,806,464/27,012
  6. Step 6: Final answer
    x = 60,447.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.