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Finding the Third Proportional to 24,180 and 36,991

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Solution

The third proportional to 24,180 and 36,991 is: 56,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180 : 36,991 = 36,991 : x
  2. Step 2: Convert to fraction form
    24,180/36,991 = 36,991/x
  3. Step 3: Cross multiply
    24,180x = 36,991 × 36,991
  4. Step 4: Simplify right side
    24,180x = 1,368,334,081
  5. Step 5: Solve for x
    x = 1,368,334,081/24,180
  6. Step 6: Final answer
    x = 56,589.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.