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Finding the Third Proportional to 34,588 and 50,367

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Solution

The third proportional to 34,588 and 50,367 is: 73,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,588 : 50,367 = 50,367 : x
  2. Step 2: Convert to fraction form
    34,588/50,367 = 50,367/x
  3. Step 3: Cross multiply
    34,588x = 50,367 × 50,367
  4. Step 4: Simplify right side
    34,588x = 2,536,834,689
  5. Step 5: Solve for x
    x = 2,536,834,689/34,588
  6. Step 6: Final answer
    x = 73,344.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.