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Finding the Third Proportional to 12,483 and 27,311

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Solution

The third proportional to 12,483 and 27,311 is: 59,752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483 : 27,311 = 27,311 : x
  2. Step 2: Convert to fraction form
    12,483/27,311 = 27,311/x
  3. Step 3: Cross multiply
    12,483x = 27,311 × 27,311
  4. Step 4: Simplify right side
    12,483x = 745,890,721
  5. Step 5: Solve for x
    x = 745,890,721/12,483
  6. Step 6: Final answer
    x = 59,752.52

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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.