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Finding the Third Proportional to 23,791 and 37,049

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Solution

The third proportional to 23,791 and 37,049 is: 57,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791 : 37,049 = 37,049 : x
  2. Step 2: Convert to fraction form
    23,791/37,049 = 37,049/x
  3. Step 3: Cross multiply
    23,791x = 37,049 × 37,049
  4. Step 4: Simplify right side
    23,791x = 1,372,628,401
  5. Step 5: Solve for x
    x = 1,372,628,401/23,791
  6. Step 6: Final answer
    x = 57,695.28

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.