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Finding the Third Proportional to 10,727 and 16,577

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Solution

The third proportional to 10,727 and 16,577 is: 25,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727 : 16,577 = 16,577 : x
  2. Step 2: Convert to fraction form
    10,727/16,577 = 16,577/x
  3. Step 3: Cross multiply
    10,727x = 16,577 × 16,577
  4. Step 4: Simplify right side
    10,727x = 274,796,929
  5. Step 5: Solve for x
    x = 274,796,929/10,727
  6. Step 6: Final answer
    x = 25,617.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.