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Finding the Third Proportional to 28,164 and 61,836

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Solution

The third proportional to 28,164 and 61,836 is: 135,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,164 : 61,836 = 61,836 : x
  2. Step 2: Convert to fraction form
    28,164/61,836 = 61,836/x
  3. Step 3: Cross multiply
    28,164x = 61,836 × 61,836
  4. Step 4: Simplify right side
    28,164x = 3,823,690,896
  5. Step 5: Solve for x
    x = 3,823,690,896/28,164
  6. Step 6: Final answer
    x = 135,765.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.