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Finding the Third Proportional to 5,674.22 and 8,814.94

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Solution

The third proportional to 5,674.22 and 8,814.94 is: 13,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.22 : 8,814.94 = 8,814.94 : x
  2. Step 2: Convert to fraction form
    5,674.22/8,814.94 = 8,814.94/x
  3. Step 3: Cross multiply
    5,674.22x = 8,814.94 × 8,814.94
  4. Step 4: Simplify right side
    5,674.22x = 77,703,123.13
  5. Step 5: Solve for x
    x = 77,703,123.13/5,674.22
  6. Step 6: Final answer
    x = 13,694.07

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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.