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Finding the Third Proportional to 12,434 and 27,172

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Solution

The third proportional to 12,434 and 27,172 is: 59,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434 : 27,172 = 27,172 : x
  2. Step 2: Convert to fraction form
    12,434/27,172 = 27,172/x
  3. Step 3: Cross multiply
    12,434x = 27,172 × 27,172
  4. Step 4: Simplify right side
    12,434x = 738,317,584
  5. Step 5: Solve for x
    x = 738,317,584/12,434
  6. Step 6: Final answer
    x = 59,378.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.