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Finding the Third Proportional to 39,979 and 92,563

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Solution

The third proportional to 39,979 and 92,563 is: 214,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,979 : 92,563 = 92,563 : x
  2. Step 2: Convert to fraction form
    39,979/92,563 = 92,563/x
  3. Step 3: Cross multiply
    39,979x = 92,563 × 92,563
  4. Step 4: Simplify right side
    39,979x = 8,567,908,969
  5. Step 5: Solve for x
    x = 8,567,908,969/39,979
  6. Step 6: Final answer
    x = 214,310.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.