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Finding the Third Proportional to 11,281 and 22,836

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Solution

The third proportional to 11,281 and 22,836 is: 46,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281 : 22,836 = 22,836 : x
  2. Step 2: Convert to fraction form
    11,281/22,836 = 22,836/x
  3. Step 3: Cross multiply
    11,281x = 22,836 × 22,836
  4. Step 4: Simplify right side
    11,281x = 521,482,896
  5. Step 5: Solve for x
    x = 521,482,896/11,281
  6. Step 6: Final answer
    x = 46,226.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.