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Finding the Third Proportional to 1,969.31 and 3,516.75

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Solution

The third proportional to 1,969.31 and 3,516.75 is: 6,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.31 : 3,516.75 = 3,516.75 : x
  2. Step 2: Convert to fraction form
    1,969.31/3,516.75 = 3,516.75/x
  3. Step 3: Cross multiply
    1,969.31x = 3,516.75 × 3,516.75
  4. Step 4: Simplify right side
    1,969.31x = 12,367,530.56
  5. Step 5: Solve for x
    x = 12,367,530.56/1,969.31
  6. Step 6: Final answer
    x = 6,280.13

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.