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Finding the Third Proportional to 2,095.13 and 3,449.63

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Solution

The third proportional to 2,095.13 and 3,449.63 is: 5,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.13 : 3,449.63 = 3,449.63 : x
  2. Step 2: Convert to fraction form
    2,095.13/3,449.63 = 3,449.63/x
  3. Step 3: Cross multiply
    2,095.13x = 3,449.63 × 3,449.63
  4. Step 4: Simplify right side
    2,095.13x = 11,899,912.64
  5. Step 5: Solve for x
    x = 11,899,912.64/2,095.13
  6. Step 6: Final answer
    x = 5,679.81

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.