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Finding the Third Proportional to 27,220 and 55,592

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Solution

The third proportional to 27,220 and 55,592 is: 113,536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,220 : 55,592 = 55,592 : x
  2. Step 2: Convert to fraction form
    27,220/55,592 = 55,592/x
  3. Step 3: Cross multiply
    27,220x = 55,592 × 55,592
  4. Step 4: Simplify right side
    27,220x = 3,090,470,464
  5. Step 5: Solve for x
    x = 3,090,470,464/27,220
  6. Step 6: Final answer
    x = 113,536.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.