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Finding the Third Proportional to 22,306 and 44,048

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Solution

The third proportional to 22,306 and 44,048 is: 86,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306 : 44,048 = 44,048 : x
  2. Step 2: Convert to fraction form
    22,306/44,048 = 44,048/x
  3. Step 3: Cross multiply
    22,306x = 44,048 × 44,048
  4. Step 4: Simplify right side
    22,306x = 1,940,226,304
  5. Step 5: Solve for x
    x = 1,940,226,304/22,306
  6. Step 6: Final answer
    x = 86,982.26

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.