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Finding the Third Proportional to 1,613.44 and 3,534.38

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Solution

The third proportional to 1,613.44 and 3,534.38 is: 7,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.44 : 3,534.38 = 3,534.38 : x
  2. Step 2: Convert to fraction form
    1,613.44/3,534.38 = 3,534.38/x
  3. Step 3: Cross multiply
    1,613.44x = 3,534.38 × 3,534.38
  4. Step 4: Simplify right side
    1,613.44x = 12,491,806.64
  5. Step 5: Solve for x
    x = 12,491,806.64/1,613.44
  6. Step 6: Final answer
    x = 7,742.36

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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.