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Finding the Third Proportional to 11,474.44 and 26,616.94

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Solution

The third proportional to 11,474.44 and 26,616.94 is: 61,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.44 : 26,616.94 = 26,616.94 : x
  2. Step 2: Convert to fraction form
    11,474.44/26,616.94 = 26,616.94/x
  3. Step 3: Cross multiply
    11,474.44x = 26,616.94 × 26,616.94
  4. Step 4: Simplify right side
    11,474.44x = 708,461,361.88
  5. Step 5: Solve for x
    x = 708,461,361.88/11,474.44
  6. Step 6: Final answer
    x = 61,742.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.