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Finding the Third Proportional to 23,536.69 and 36,056.81

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Solution

The third proportional to 23,536.69 and 36,056.81 is: 55,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,536.69 : 36,056.81 = 36,056.81 : x
  2. Step 2: Convert to fraction form
    23,536.69/36,056.81 = 36,056.81/x
  3. Step 3: Cross multiply
    23,536.69x = 36,056.81 × 36,056.81
  4. Step 4: Simplify right side
    23,536.69x = 1,300,093,727.66
  5. Step 5: Solve for x
    x = 1,300,093,727.66/23,536.69
  6. Step 6: Final answer
    x = 55,236.90

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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.