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Finding the Third Proportional to 3,109.75 and 4,814.88

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Solution

The third proportional to 3,109.75 and 4,814.88 is: 7,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.75 : 4,814.88 = 4,814.88 : x
  2. Step 2: Convert to fraction form
    3,109.75/4,814.88 = 4,814.88/x
  3. Step 3: Cross multiply
    3,109.75x = 4,814.88 × 4,814.88
  4. Step 4: Simplify right side
    3,109.75x = 23,183,021.27
  5. Step 5: Solve for x
    x = 23,183,021.27/3,109.75
  6. Step 6: Final answer
    x = 7,454.95

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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.