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Finding the Third Proportional to 13,708.41 and 30,034.97

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Solution

The third proportional to 13,708.41 and 30,034.97 is: 65,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.41 : 30,034.97 = 30,034.97 : x
  2. Step 2: Convert to fraction form
    13,708.41/30,034.97 = 30,034.97/x
  3. Step 3: Cross multiply
    13,708.41x = 30,034.97 × 30,034.97
  4. Step 4: Simplify right side
    13,708.41x = 902,099,347.81
  5. Step 5: Solve for x
    x = 902,099,347.81/13,708.41
  6. Step 6: Final answer
    x = 65,806.29

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