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Finding the Third Proportional to 13,564.50 and 27,941

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Solution

The third proportional to 13,564.50 and 27,941 is: 57,554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.50 : 27,941 = 27,941 : x
  2. Step 2: Convert to fraction form
    13,564.50/27,941 = 27,941/x
  3. Step 3: Cross multiply
    13,564.50x = 27,941 × 27,941
  4. Step 4: Simplify right side
    13,564.50x = 780,699,481
  5. Step 5: Solve for x
    x = 780,699,481/13,564.50
  6. Step 6: Final answer
    x = 57,554.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.