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Finding the Third Proportional to 12,963.38 and 27,914.63

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Solution

The third proportional to 12,963.38 and 27,914.63 is: 60,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.38 : 27,914.63 = 27,914.63 : x
  2. Step 2: Convert to fraction form
    12,963.38/27,914.63 = 27,914.63/x
  3. Step 3: Cross multiply
    12,963.38x = 27,914.63 × 27,914.63
  4. Step 4: Simplify right side
    12,963.38x = 779,226,288.89
  5. Step 5: Solve for x
    x = 779,226,288.89/12,963.38
  6. Step 6: Final answer
    x = 60,109.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.