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Finding the Third Proportional to 24,505 and 36,791

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Solution

The third proportional to 24,505 and 36,791 is: 55,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,505 : 36,791 = 36,791 : x
  2. Step 2: Convert to fraction form
    24,505/36,791 = 36,791/x
  3. Step 3: Cross multiply
    24,505x = 36,791 × 36,791
  4. Step 4: Simplify right side
    24,505x = 1,353,577,681
  5. Step 5: Solve for x
    x = 1,353,577,681/24,505
  6. Step 6: Final answer
    x = 55,236.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.