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Finding the Third Proportional to 10,069 and 21,979

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Solution

The third proportional to 10,069 and 21,979 is: 47,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069 : 21,979 = 21,979 : x
  2. Step 2: Convert to fraction form
    10,069/21,979 = 21,979/x
  3. Step 3: Cross multiply
    10,069x = 21,979 × 21,979
  4. Step 4: Simplify right side
    10,069x = 483,076,441
  5. Step 5: Solve for x
    x = 483,076,441/10,069
  6. Step 6: Final answer
    x = 47,976.61

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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.