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Finding the Third Proportional to 28,227 and 62,213

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Solution

The third proportional to 28,227 and 62,213 is: 137,118.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,227 : 62,213 = 62,213 : x
  2. Step 2: Convert to fraction form
    28,227/62,213 = 62,213/x
  3. Step 3: Cross multiply
    28,227x = 62,213 × 62,213
  4. Step 4: Simplify right side
    28,227x = 3,870,457,369
  5. Step 5: Solve for x
    x = 3,870,457,369/28,227
  6. Step 6: Final answer
    x = 137,118.98

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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.