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Finding the Third Proportional to 24,174.70 and 36,956.86

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Solution

The third proportional to 24,174.70 and 36,956.86 is: 56,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.70 : 36,956.86 = 36,956.86 : x
  2. Step 2: Convert to fraction form
    24,174.70/36,956.86 = 36,956.86/x
  3. Step 3: Cross multiply
    24,174.70x = 36,956.86 × 36,956.86
  4. Step 4: Simplify right side
    24,174.70x = 1,365,809,454.86
  5. Step 5: Solve for x
    x = 1,365,809,454.86/24,174.70
  6. Step 6: Final answer
    x = 56,497.47

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