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Finding the Third Proportional to 10,214 and 22,156

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Solution

The third proportional to 10,214 and 22,156 is: 48,060.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214 : 22,156 = 22,156 : x
  2. Step 2: Convert to fraction form
    10,214/22,156 = 22,156/x
  3. Step 3: Cross multiply
    10,214x = 22,156 × 22,156
  4. Step 4: Simplify right side
    10,214x = 490,888,336
  5. Step 5: Solve for x
    x = 490,888,336/10,214
  6. Step 6: Final answer
    x = 48,060.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.