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Finding the Third Proportional to 5,308.03 and 11,193.19

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Solution

The third proportional to 5,308.03 and 11,193.19 is: 23,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.03 : 11,193.19 = 11,193.19 : x
  2. Step 2: Convert to fraction form
    5,308.03/11,193.19 = 11,193.19/x
  3. Step 3: Cross multiply
    5,308.03x = 11,193.19 × 11,193.19
  4. Step 4: Simplify right side
    5,308.03x = 125,287,446.41
  5. Step 5: Solve for x
    x = 125,287,446.41/5,308.03
  6. Step 6: Final answer
    x = 23,603.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.