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Finding the Third Proportional to 2,663.44 and 5,909.06

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Solution

The third proportional to 2,663.44 and 5,909.06 is: 13,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.44 : 5,909.06 = 5,909.06 : x
  2. Step 2: Convert to fraction form
    2,663.44/5,909.06 = 5,909.06/x
  3. Step 3: Cross multiply
    2,663.44x = 5,909.06 × 5,909.06
  4. Step 4: Simplify right side
    2,663.44x = 34,917,019.63
  5. Step 5: Solve for x
    x = 34,917,019.63/2,663.44
  6. Step 6: Final answer
    x = 13,109.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.