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Finding the Third Proportional to 24,571 and 37,313

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Solution

The third proportional to 24,571 and 37,313 is: 56,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,571 : 37,313 = 37,313 : x
  2. Step 2: Convert to fraction form
    24,571/37,313 = 37,313/x
  3. Step 3: Cross multiply
    24,571x = 37,313 × 37,313
  4. Step 4: Simplify right side
    24,571x = 1,392,259,969
  5. Step 5: Solve for x
    x = 1,392,259,969/24,571
  6. Step 6: Final answer
    x = 56,662.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.