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Finding the Third Proportional to 23,787 and 36,814.50

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Solution

The third proportional to 23,787 and 36,814.50 is: 56,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,787 : 36,814.50 = 36,814.50 : x
  2. Step 2: Convert to fraction form
    23,787/36,814.50 = 36,814.50/x
  3. Step 3: Cross multiply
    23,787x = 36,814.50 × 36,814.50
  4. Step 4: Simplify right side
    23,787x = 1,355,307,410.25
  5. Step 5: Solve for x
    x = 1,355,307,410.25/23,787
  6. Step 6: Final answer
    x = 56,976.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.