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Finding the Third Proportional to 11,724.75 and 27,712.13

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Solution

The third proportional to 11,724.75 and 27,712.13 is: 65,499.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.75 : 27,712.13 = 27,712.13 : x
  2. Step 2: Convert to fraction form
    11,724.75/27,712.13 = 27,712.13/x
  3. Step 3: Cross multiply
    11,724.75x = 27,712.13 × 27,712.13
  4. Step 4: Simplify right side
    11,724.75x = 767,961,872.02
  5. Step 5: Solve for x
    x = 767,961,872.02/11,724.75
  6. Step 6: Final answer
    x = 65,499.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.