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Finding the Third Proportional to 12,963.38 and 18,878.06

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Solution

The third proportional to 12,963.38 and 18,878.06 is: 27,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.38 : 18,878.06 = 18,878.06 : x
  2. Step 2: Convert to fraction form
    12,963.38/18,878.06 = 18,878.06/x
  3. Step 3: Cross multiply
    12,963.38x = 18,878.06 × 18,878.06
  4. Step 4: Simplify right side
    12,963.38x = 356,381,243.75
  5. Step 5: Solve for x
    x = 356,381,243.75/12,963.38
  6. Step 6: Final answer
    x = 27,491.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.