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Finding the Third Proportional to 2,816.65 and 4,214.85

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Solution

The third proportional to 2,816.65 and 4,214.85 is: 6,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.65 : 4,214.85 = 4,214.85 : x
  2. Step 2: Convert to fraction form
    2,816.65/4,214.85 = 4,214.85/x
  3. Step 3: Cross multiply
    2,816.65x = 4,214.85 × 4,214.85
  4. Step 4: Simplify right side
    2,816.65x = 17,764,940.77
  5. Step 5: Solve for x
    x = 17,764,940.77/2,816.65
  6. Step 6: Final answer
    x = 6,307.12

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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.