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Finding the Third Proportional to 34,393 and 75,427

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Solution

The third proportional to 34,393 and 75,427 is: 165,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,393 : 75,427 = 75,427 : x
  2. Step 2: Convert to fraction form
    34,393/75,427 = 75,427/x
  3. Step 3: Cross multiply
    34,393x = 75,427 × 75,427
  4. Step 4: Simplify right side
    34,393x = 5,689,232,329
  5. Step 5: Solve for x
    x = 5,689,232,329/34,393
  6. Step 6: Final answer
    x = 165,418.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.