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Finding the Third Proportional to 24,401 and 40,386

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Solution

The third proportional to 24,401 and 40,386 is: 66,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,401 : 40,386 = 40,386 : x
  2. Step 2: Convert to fraction form
    24,401/40,386 = 40,386/x
  3. Step 3: Cross multiply
    24,401x = 40,386 × 40,386
  4. Step 4: Simplify right side
    24,401x = 1,631,028,996
  5. Step 5: Solve for x
    x = 1,631,028,996/24,401
  6. Step 6: Final answer
    x = 66,842.71

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.