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Finding the Third Proportional to 16,074 and 34,617

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Solution

The third proportional to 16,074 and 34,617 is: 74,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074 : 34,617 = 34,617 : x
  2. Step 2: Convert to fraction form
    16,074/34,617 = 34,617/x
  3. Step 3: Cross multiply
    16,074x = 34,617 × 34,617
  4. Step 4: Simplify right side
    16,074x = 1,198,336,689
  5. Step 5: Solve for x
    x = 1,198,336,689/16,074
  6. Step 6: Final answer
    x = 74,551.24

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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.