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Finding the Third Proportional to 2,643.26 and 5,742.14

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Solution

The third proportional to 2,643.26 and 5,742.14 is: 12,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.26 : 5,742.14 = 5,742.14 : x
  2. Step 2: Convert to fraction form
    2,643.26/5,742.14 = 5,742.14/x
  3. Step 3: Cross multiply
    2,643.26x = 5,742.14 × 5,742.14
  4. Step 4: Simplify right side
    2,643.26x = 32,972,178.96
  5. Step 5: Solve for x
    x = 32,972,178.96/2,643.26
  6. Step 6: Final answer
    x = 12,474.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.