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Finding the Third Proportional to 12,378 and 27,014

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Solution

The third proportional to 12,378 and 27,014 is: 58,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378 : 27,014 = 27,014 : x
  2. Step 2: Convert to fraction form
    12,378/27,014 = 27,014/x
  3. Step 3: Cross multiply
    12,378x = 27,014 × 27,014
  4. Step 4: Simplify right side
    12,378x = 729,756,196
  5. Step 5: Solve for x
    x = 729,756,196/12,378
  6. Step 6: Final answer
    x = 58,955.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.