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Finding the Third Proportional to 12,394.41 and 27,135.56

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Solution

The third proportional to 12,394.41 and 27,135.56 is: 59,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.41 : 27,135.56 = 27,135.56 : x
  2. Step 2: Convert to fraction form
    12,394.41/27,135.56 = 27,135.56/x
  3. Step 3: Cross multiply
    12,394.41x = 27,135.56 × 27,135.56
  4. Step 4: Simplify right side
    12,394.41x = 736,338,752.19
  5. Step 5: Solve for x
    x = 736,338,752.19/12,394.41
  6. Step 6: Final answer
    x = 59,408.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.