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Finding the Third Proportional to 5,911.73 and 12,746.11

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Solution

The third proportional to 5,911.73 and 12,746.11 is: 27,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.73 : 12,746.11 = 12,746.11 : x
  2. Step 2: Convert to fraction form
    5,911.73/12,746.11 = 12,746.11/x
  3. Step 3: Cross multiply
    5,911.73x = 12,746.11 × 12,746.11
  4. Step 4: Simplify right side
    5,911.73x = 162,463,304.20
  5. Step 5: Solve for x
    x = 162,463,304.20/5,911.73
  6. Step 6: Final answer
    x = 27,481.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.