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Finding the Third Proportional to 16,405 and 24,577

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Solution

The third proportional to 16,405 and 24,577 is: 36,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405 : 24,577 = 24,577 : x
  2. Step 2: Convert to fraction form
    16,405/24,577 = 24,577/x
  3. Step 3: Cross multiply
    16,405x = 24,577 × 24,577
  4. Step 4: Simplify right side
    16,405x = 604,028,929
  5. Step 5: Solve for x
    x = 604,028,929/16,405
  6. Step 6: Final answer
    x = 36,819.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.