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Finding the Third Proportional to 10,289 and 22,427

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Solution

The third proportional to 10,289 and 22,427 is: 48,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289 : 22,427 = 22,427 : x
  2. Step 2: Convert to fraction form
    10,289/22,427 = 22,427/x
  3. Step 3: Cross multiply
    10,289x = 22,427 × 22,427
  4. Step 4: Simplify right side
    10,289x = 502,970,329
  5. Step 5: Solve for x
    x = 502,970,329/10,289
  6. Step 6: Final answer
    x = 48,884.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.