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Finding the Third Proportional to 10,514 and 24,979

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Solution

The third proportional to 10,514 and 24,979 is: 59,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514 : 24,979 = 24,979 : x
  2. Step 2: Convert to fraction form
    10,514/24,979 = 24,979/x
  3. Step 3: Cross multiply
    10,514x = 24,979 × 24,979
  4. Step 4: Simplify right side
    10,514x = 623,950,441
  5. Step 5: Solve for x
    x = 623,950,441/10,514
  6. Step 6: Final answer
    x = 59,344.73

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.