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Finding the Third Proportional to 3,121.88 and 4,674.38

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Solution

The third proportional to 3,121.88 and 4,674.38 is: 6,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.88 : 4,674.38 = 4,674.38 : x
  2. Step 2: Convert to fraction form
    3,121.88/4,674.38 = 4,674.38/x
  3. Step 3: Cross multiply
    3,121.88x = 4,674.38 × 4,674.38
  4. Step 4: Simplify right side
    3,121.88x = 21,849,781.64
  5. Step 5: Solve for x
    x = 21,849,781.64/3,121.88
  6. Step 6: Final answer
    x = 6,998.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.