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Finding the Third Proportional to 7,391.13 and 16,422.44

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Solution

The third proportional to 7,391.13 and 16,422.44 is: 36,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.13 : 16,422.44 = 16,422.44 : x
  2. Step 2: Convert to fraction form
    7,391.13/16,422.44 = 16,422.44/x
  3. Step 3: Cross multiply
    7,391.13x = 16,422.44 × 16,422.44
  4. Step 4: Simplify right side
    7,391.13x = 269,696,453.44
  5. Step 5: Solve for x
    x = 269,696,453.44/7,391.13
  6. Step 6: Final answer
    x = 36,489.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.