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Finding the Third Proportional to 16,011 and 25,577

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Solution

The third proportional to 16,011 and 25,577 is: 40,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,011 : 25,577 = 25,577 : x
  2. Step 2: Convert to fraction form
    16,011/25,577 = 25,577/x
  3. Step 3: Cross multiply
    16,011x = 25,577 × 25,577
  4. Step 4: Simplify right side
    16,011x = 654,182,929
  5. Step 5: Solve for x
    x = 654,182,929/16,011
  6. Step 6: Final answer
    x = 40,858.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.