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Finding the Third Proportional to 12,436 and 27,176

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Solution

The third proportional to 12,436 and 27,176 is: 59,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436 : 27,176 = 27,176 : x
  2. Step 2: Convert to fraction form
    12,436/27,176 = 27,176/x
  3. Step 3: Cross multiply
    12,436x = 27,176 × 27,176
  4. Step 4: Simplify right side
    12,436x = 738,534,976
  5. Step 5: Solve for x
    x = 738,534,976/12,436
  6. Step 6: Final answer
    x = 59,386.86

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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.