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Finding the Third Proportional to 21,866.81 and 34,811.44

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Solution

The third proportional to 21,866.81 and 34,811.44 is: 55,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.81 : 34,811.44 = 34,811.44 : x
  2. Step 2: Convert to fraction form
    21,866.81/34,811.44 = 34,811.44/x
  3. Step 3: Cross multiply
    21,866.81x = 34,811.44 × 34,811.44
  4. Step 4: Simplify right side
    21,866.81x = 1,211,836,180.82
  5. Step 5: Solve for x
    x = 1,211,836,180.82/21,866.81
  6. Step 6: Final answer
    x = 55,418.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.