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Finding the Third Proportional to 10,372 and 22,226

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Solution

The third proportional to 10,372 and 22,226 is: 47,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372 : 22,226 = 22,226 : x
  2. Step 2: Convert to fraction form
    10,372/22,226 = 22,226/x
  3. Step 3: Cross multiply
    10,372x = 22,226 × 22,226
  4. Step 4: Simplify right side
    10,372x = 493,995,076
  5. Step 5: Solve for x
    x = 493,995,076/10,372
  6. Step 6: Final answer
    x = 47,627.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.