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Finding the Third Proportional to 11,866.50 and 27,477

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Solution

The third proportional to 11,866.50 and 27,477 is: 63,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.50 : 27,477 = 27,477 : x
  2. Step 2: Convert to fraction form
    11,866.50/27,477 = 27,477/x
  3. Step 3: Cross multiply
    11,866.50x = 27,477 × 27,477
  4. Step 4: Simplify right side
    11,866.50x = 754,985,529
  5. Step 5: Solve for x
    x = 754,985,529/11,866.50
  6. Step 6: Final answer
    x = 63,623.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.