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Finding the Third Proportional to 13,600 and 27,931

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Solution

The third proportional to 13,600 and 27,931 is: 57,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600 : 27,931 = 27,931 : x
  2. Step 2: Convert to fraction form
    13,600/27,931 = 27,931/x
  3. Step 3: Cross multiply
    13,600x = 27,931 × 27,931
  4. Step 4: Simplify right side
    13,600x = 780,140,761
  5. Step 5: Solve for x
    x = 780,140,761/13,600
  6. Step 6: Final answer
    x = 57,363.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.