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Finding the Third Proportional to 24,914 and 37,443

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Solution

The third proportional to 24,914 and 37,443 is: 56,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914 : 37,443 = 37,443 : x
  2. Step 2: Convert to fraction form
    24,914/37,443 = 37,443/x
  3. Step 3: Cross multiply
    24,914x = 37,443 × 37,443
  4. Step 4: Simplify right side
    24,914x = 1,401,978,249
  5. Step 5: Solve for x
    x = 1,401,978,249/24,914
  6. Step 6: Final answer
    x = 56,272.71

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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.