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Finding the Third Proportional to 36,814.50 and 56,656.97

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Solution

The third proportional to 36,814.50 and 56,656.97 is: 87,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,814.50 : 56,656.97 = 56,656.97 : x
  2. Step 2: Convert to fraction form
    36,814.50/56,656.97 = 56,656.97/x
  3. Step 3: Cross multiply
    36,814.50x = 56,656.97 × 56,656.97
  4. Step 4: Simplify right side
    36,814.50x = 3,210,012,107.94
  5. Step 5: Solve for x
    x = 3,210,012,107.94/36,814.50
  6. Step 6: Final answer
    x = 87,194.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.