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Finding the Third Proportional to 27,014 and 40,411

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Solution

The third proportional to 27,014 and 40,411 is: 60,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,014 : 40,411 = 40,411 : x
  2. Step 2: Convert to fraction form
    27,014/40,411 = 40,411/x
  3. Step 3: Cross multiply
    27,014x = 40,411 × 40,411
  4. Step 4: Simplify right side
    27,014x = 1,633,048,921
  5. Step 5: Solve for x
    x = 1,633,048,921/27,014
  6. Step 6: Final answer
    x = 60,451.95

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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.