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Finding the Third Proportional to 12,335.50 and 27,131

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Solution

The third proportional to 12,335.50 and 27,131 is: 59,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.50 : 27,131 = 27,131 : x
  2. Step 2: Convert to fraction form
    12,335.50/27,131 = 27,131/x
  3. Step 3: Cross multiply
    12,335.50x = 27,131 × 27,131
  4. Step 4: Simplify right side
    12,335.50x = 736,091,161
  5. Step 5: Solve for x
    x = 736,091,161/12,335.50
  6. Step 6: Final answer
    x = 59,672.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.