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Finding the Third Proportional to 16,076 and 34,825

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Solution

The third proportional to 16,076 and 34,825 is: 75,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076 : 34,825 = 34,825 : x
  2. Step 2: Convert to fraction form
    16,076/34,825 = 34,825/x
  3. Step 3: Cross multiply
    16,076x = 34,825 × 34,825
  4. Step 4: Simplify right side
    16,076x = 1,212,780,625
  5. Step 5: Solve for x
    x = 1,212,780,625/16,076
  6. Step 6: Final answer
    x = 75,440.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.