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Finding the Third Proportional to 10,286 and 22,207

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Solution

The third proportional to 10,286 and 22,207 is: 47,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286 : 22,207 = 22,207 : x
  2. Step 2: Convert to fraction form
    10,286/22,207 = 22,207/x
  3. Step 3: Cross multiply
    10,286x = 22,207 × 22,207
  4. Step 4: Simplify right side
    10,286x = 493,150,849
  5. Step 5: Solve for x
    x = 493,150,849/10,286
  6. Step 6: Final answer
    x = 47,943.89

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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.