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Finding the Third Proportional to 12,603.38 and 27,170.94

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Solution

The third proportional to 12,603.38 and 27,170.94 is: 58,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.38 : 27,170.94 = 27,170.94 : x
  2. Step 2: Convert to fraction form
    12,603.38/27,170.94 = 27,170.94/x
  3. Step 3: Cross multiply
    12,603.38x = 27,170.94 × 27,170.94
  4. Step 4: Simplify right side
    12,603.38x = 738,259,844.63
  5. Step 5: Solve for x
    x = 738,259,844.63/12,603.38
  6. Step 6: Final answer
    x = 58,576.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.