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Finding the Third Proportional to 13,034.67 and 20,100.66

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Solution

The third proportional to 13,034.67 and 20,100.66 is: 30,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.67 : 20,100.66 = 20,100.66 : x
  2. Step 2: Convert to fraction form
    13,034.67/20,100.66 = 20,100.66/x
  3. Step 3: Cross multiply
    13,034.67x = 20,100.66 × 20,100.66
  4. Step 4: Simplify right side
    13,034.67x = 404,036,381.68
  5. Step 5: Solve for x
    x = 404,036,381.68/13,034.67
  6. Step 6: Final answer
    x = 30,997.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.