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Finding the Third Proportional to 22,048 and 23,992

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Solution

The third proportional to 22,048 and 23,992 is: 26,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048 : 23,992 = 23,992 : x
  2. Step 2: Convert to fraction form
    22,048/23,992 = 23,992/x
  3. Step 3: Cross multiply
    22,048x = 23,992 × 23,992
  4. Step 4: Simplify right side
    22,048x = 575,616,064
  5. Step 5: Solve for x
    x = 575,616,064/22,048
  6. Step 6: Final answer
    x = 26,107.40

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.