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Finding the Third Proportional to 13,276.41 and 27,165.38

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Solution

The third proportional to 13,276.41 and 27,165.38 is: 55,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,276.41 : 27,165.38 = 27,165.38 : x
  2. Step 2: Convert to fraction form
    13,276.41/27,165.38 = 27,165.38/x
  3. Step 3: Cross multiply
    13,276.41x = 27,165.38 × 27,165.38
  4. Step 4: Simplify right side
    13,276.41x = 737,957,598.89
  5. Step 5: Solve for x
    x = 737,957,598.89/13,276.41
  6. Step 6: Final answer
    x = 55,584.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.