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Finding the Third Proportional to 5,510.25 and 11,395.13

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Solution

The third proportional to 5,510.25 and 11,395.13 is: 23,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.25 : 11,395.13 = 11,395.13 : x
  2. Step 2: Convert to fraction form
    5,510.25/11,395.13 = 11,395.13/x
  3. Step 3: Cross multiply
    5,510.25x = 11,395.13 × 11,395.13
  4. Step 4: Simplify right side
    5,510.25x = 129,848,873.77
  5. Step 5: Solve for x
    x = 129,848,873.77/5,510.25
  6. Step 6: Final answer
    x = 23,564.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.