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Finding the Third Proportional to 24,454 and 37,799

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Solution

The third proportional to 24,454 and 37,799 is: 58,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454 : 37,799 = 37,799 : x
  2. Step 2: Convert to fraction form
    24,454/37,799 = 37,799/x
  3. Step 3: Cross multiply
    24,454x = 37,799 × 37,799
  4. Step 4: Simplify right side
    24,454x = 1,428,764,401
  5. Step 5: Solve for x
    x = 1,428,764,401/24,454
  6. Step 6: Final answer
    x = 58,426.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.