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Finding the Third Proportional to 10,247 and 22,651

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Solution

The third proportional to 10,247 and 22,651 is: 50,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,247 : 22,651 = 22,651 : x
  2. Step 2: Convert to fraction form
    10,247/22,651 = 22,651/x
  3. Step 3: Cross multiply
    10,247x = 22,651 × 22,651
  4. Step 4: Simplify right side
    10,247x = 513,067,801
  5. Step 5: Solve for x
    x = 513,067,801/10,247
  6. Step 6: Final answer
    x = 50,070.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.