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Finding the Third Proportional to 9,518 and 22,241

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Solution

The third proportional to 9,518 and 22,241 is: 51,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518 : 22,241 = 22,241 : x
  2. Step 2: Convert to fraction form
    9,518/22,241 = 22,241/x
  3. Step 3: Cross multiply
    9,518x = 22,241 × 22,241
  4. Step 4: Simplify right side
    9,518x = 494,662,081
  5. Step 5: Solve for x
    x = 494,662,081/9,518
  6. Step 6: Final answer
    x = 51,971.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.