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Finding the Third Proportional to 12,474 and 27,717

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Solution

The third proportional to 12,474 and 27,717 is: 61,586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474 : 27,717 = 27,717 : x
  2. Step 2: Convert to fraction form
    12,474/27,717 = 27,717/x
  3. Step 3: Cross multiply
    12,474x = 27,717 × 27,717
  4. Step 4: Simplify right side
    12,474x = 768,232,089
  5. Step 5: Solve for x
    x = 768,232,089/12,474
  6. Step 6: Final answer
    x = 61,586.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.