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Finding the Third Proportional to 5,344.73 and 11,612.11

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Solution

The third proportional to 5,344.73 and 11,612.11 is: 25,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.73 : 11,612.11 = 11,612.11 : x
  2. Step 2: Convert to fraction form
    5,344.73/11,612.11 = 11,612.11/x
  3. Step 3: Cross multiply
    5,344.73x = 11,612.11 × 11,612.11
  4. Step 4: Simplify right side
    5,344.73x = 134,841,084.14
  5. Step 5: Solve for x
    x = 134,841,084.14/5,344.73
  6. Step 6: Final answer
    x = 25,228.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.