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Finding the Third Proportional to 27,210 and 55,884

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Solution

The third proportional to 27,210 and 55,884 is: 114,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,210 : 55,884 = 55,884 : x
  2. Step 2: Convert to fraction form
    27,210/55,884 = 55,884/x
  3. Step 3: Cross multiply
    27,210x = 55,884 × 55,884
  4. Step 4: Simplify right side
    27,210x = 3,123,021,456
  5. Step 5: Solve for x
    x = 3,123,021,456/27,210
  6. Step 6: Final answer
    x = 114,774.77

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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.