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Finding the Third Proportional to 5,404.22 and 11,304.56

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Solution

The third proportional to 5,404.22 and 11,304.56 is: 23,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.22 : 11,304.56 = 11,304.56 : x
  2. Step 2: Convert to fraction form
    5,404.22/11,304.56 = 11,304.56/x
  3. Step 3: Cross multiply
    5,404.22x = 11,304.56 × 11,304.56
  4. Step 4: Simplify right side
    5,404.22x = 127,793,133.32
  5. Step 5: Solve for x
    x = 127,793,133.32/5,404.22
  6. Step 6: Final answer
    x = 23,646.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.