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Finding the Third Proportional to 5,339.81 and 11,294.44

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Solution

The third proportional to 5,339.81 and 11,294.44 is: 23,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.81 : 11,294.44 = 11,294.44 : x
  2. Step 2: Convert to fraction form
    5,339.81/11,294.44 = 11,294.44/x
  3. Step 3: Cross multiply
    5,339.81x = 11,294.44 × 11,294.44
  4. Step 4: Simplify right side
    5,339.81x = 127,564,318.44
  5. Step 5: Solve for x
    x = 127,564,318.44/5,339.81
  6. Step 6: Final answer
    x = 23,889.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.