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Finding the Third Proportional to 9,022.64 and 21,736.27

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Solution

The third proportional to 9,022.64 and 21,736.27 is: 52,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.64 : 21,736.27 = 21,736.27 : x
  2. Step 2: Convert to fraction form
    9,022.64/21,736.27 = 21,736.27/x
  3. Step 3: Cross multiply
    9,022.64x = 21,736.27 × 21,736.27
  4. Step 4: Simplify right side
    9,022.64x = 472,465,243.32
  5. Step 5: Solve for x
    x = 472,465,243.32/9,022.64
  6. Step 6: Final answer
    x = 52,364.41

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.