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Finding the Third Proportional to 11,974 and 25,577

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Solution

The third proportional to 11,974 and 25,577 is: 54,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974 : 25,577 = 25,577 : x
  2. Step 2: Convert to fraction form
    11,974/25,577 = 25,577/x
  3. Step 3: Cross multiply
    11,974x = 25,577 × 25,577
  4. Step 4: Simplify right side
    11,974x = 654,182,929
  5. Step 5: Solve for x
    x = 654,182,929/11,974
  6. Step 6: Final answer
    x = 54,633.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.