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Finding the Third Proportional to 12,335.34 and 27,131.06

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Solution

The third proportional to 12,335.34 and 27,131.06 is: 59,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.34 : 27,131.06 = 27,131.06 : x
  2. Step 2: Convert to fraction form
    12,335.34/27,131.06 = 27,131.06/x
  3. Step 3: Cross multiply
    12,335.34x = 27,131.06 × 27,131.06
  4. Step 4: Simplify right side
    12,335.34x = 736,094,552.38
  5. Step 5: Solve for x
    x = 736,094,552.38/12,335.34
  6. Step 6: Final answer
    x = 59,673.61

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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.