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Finding the Third Proportional to 39,859 and 84,577

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Solution

The third proportional to 39,859 and 84,577 is: 179,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,859 : 84,577 = 84,577 : x
  2. Step 2: Convert to fraction form
    39,859/84,577 = 84,577/x
  3. Step 3: Cross multiply
    39,859x = 84,577 × 84,577
  4. Step 4: Simplify right side
    39,859x = 7,153,268,929
  5. Step 5: Solve for x
    x = 7,153,268,929/39,859
  6. Step 6: Final answer
    x = 179,464.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.