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Finding the Third Proportional to 12,817.50 and 27,552

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Solution

The third proportional to 12,817.50 and 27,552 is: 59,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.50 : 27,552 = 27,552 : x
  2. Step 2: Convert to fraction form
    12,817.50/27,552 = 27,552/x
  3. Step 3: Cross multiply
    12,817.50x = 27,552 × 27,552
  4. Step 4: Simplify right side
    12,817.50x = 759,112,704
  5. Step 5: Solve for x
    x = 759,112,704/12,817.50
  6. Step 6: Final answer
    x = 59,224.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.