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Finding the Third Proportional to 28,227 and 60,346

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Solution

The third proportional to 28,227 and 60,346 is: 129,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,227 : 60,346 = 60,346 : x
  2. Step 2: Convert to fraction form
    28,227/60,346 = 60,346/x
  3. Step 3: Cross multiply
    28,227x = 60,346 × 60,346
  4. Step 4: Simplify right side
    28,227x = 3,641,639,716
  5. Step 5: Solve for x
    x = 3,641,639,716/28,227
  6. Step 6: Final answer
    x = 129,012.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.