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Finding the Third Proportional to 23,293 and 32,927

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Solution

The third proportional to 23,293 and 32,927 is: 46,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,293 : 32,927 = 32,927 : x
  2. Step 2: Convert to fraction form
    23,293/32,927 = 32,927/x
  3. Step 3: Cross multiply
    23,293x = 32,927 × 32,927
  4. Step 4: Simplify right side
    23,293x = 1,084,187,329
  5. Step 5: Solve for x
    x = 1,084,187,329/23,293
  6. Step 6: Final answer
    x = 46,545.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.