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Finding the Third Proportional to 10,286 and 22,190

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Solution

The third proportional to 10,286 and 22,190 is: 47,870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286 : 22,190 = 22,190 : x
  2. Step 2: Convert to fraction form
    10,286/22,190 = 22,190/x
  3. Step 3: Cross multiply
    10,286x = 22,190 × 22,190
  4. Step 4: Simplify right side
    10,286x = 492,396,100
  5. Step 5: Solve for x
    x = 492,396,100/10,286
  6. Step 6: Final answer
    x = 47,870.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.