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Finding the Third Proportional to 24,761 and 36,595

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Solution

The third proportional to 24,761 and 36,595 is: 54,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761 : 36,595 = 36,595 : x
  2. Step 2: Convert to fraction form
    24,761/36,595 = 36,595/x
  3. Step 3: Cross multiply
    24,761x = 36,595 × 36,595
  4. Step 4: Simplify right side
    24,761x = 1,339,194,025
  5. Step 5: Solve for x
    x = 1,339,194,025/24,761
  6. Step 6: Final answer
    x = 54,084.81

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.