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Finding the Third Proportional to 16,150 and 34,774

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Solution

The third proportional to 16,150 and 34,774 is: 74,874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,150 : 34,774 = 34,774 : x
  2. Step 2: Convert to fraction form
    16,150/34,774 = 34,774/x
  3. Step 3: Cross multiply
    16,150x = 34,774 × 34,774
  4. Step 4: Simplify right side
    16,150x = 1,209,231,076
  5. Step 5: Solve for x
    x = 1,209,231,076/16,150
  6. Step 6: Final answer
    x = 74,874.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.