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Finding the Third Proportional to 2,645.44 and 5,655.19

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Solution

The third proportional to 2,645.44 and 5,655.19 is: 12,089.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.44 : 5,655.19 = 5,655.19 : x
  2. Step 2: Convert to fraction form
    2,645.44/5,655.19 = 5,655.19/x
  3. Step 3: Cross multiply
    2,645.44x = 5,655.19 × 5,655.19
  4. Step 4: Simplify right side
    2,645.44x = 31,981,145.66
  5. Step 5: Solve for x
    x = 31,981,145.66/2,645.44
  6. Step 6: Final answer
    x = 12,089.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.