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Finding the Third Proportional to 10,514 and 22,622

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Solution

The third proportional to 10,514 and 22,622 is: 48,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514 : 22,622 = 22,622 : x
  2. Step 2: Convert to fraction form
    10,514/22,622 = 22,622/x
  3. Step 3: Cross multiply
    10,514x = 22,622 × 22,622
  4. Step 4: Simplify right side
    10,514x = 511,754,884
  5. Step 5: Solve for x
    x = 511,754,884/10,514
  6. Step 6: Final answer
    x = 48,673.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.