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Finding the Third Proportional to 25,842 and 38,979

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Solution

The third proportional to 25,842 and 38,979 is: 58,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842 : 38,979 = 38,979 : x
  2. Step 2: Convert to fraction form
    25,842/38,979 = 38,979/x
  3. Step 3: Cross multiply
    25,842x = 38,979 × 38,979
  4. Step 4: Simplify right side
    25,842x = 1,519,362,441
  5. Step 5: Solve for x
    x = 1,519,362,441/25,842
  6. Step 6: Final answer
    x = 58,794.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.