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Finding the Third Proportional to 1,912.68 and 4,195.55

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Solution

The third proportional to 1,912.68 and 4,195.55 is: 9,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.68 : 4,195.55 = 4,195.55 : x
  2. Step 2: Convert to fraction form
    1,912.68/4,195.55 = 4,195.55/x
  3. Step 3: Cross multiply
    1,912.68x = 4,195.55 × 4,195.55
  4. Step 4: Simplify right side
    1,912.68x = 17,602,613.58
  5. Step 5: Solve for x
    x = 17,602,613.58/1,912.68
  6. Step 6: Final answer
    x = 9,203.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.