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Finding the Third Proportional to 23,339 and 34,927

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Solution

The third proportional to 23,339 and 34,927 is: 52,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,339 : 34,927 = 34,927 : x
  2. Step 2: Convert to fraction form
    23,339/34,927 = 34,927/x
  3. Step 3: Cross multiply
    23,339x = 34,927 × 34,927
  4. Step 4: Simplify right side
    23,339x = 1,219,895,329
  5. Step 5: Solve for x
    x = 1,219,895,329/23,339
  6. Step 6: Final answer
    x = 52,268.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.