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Finding the Third Proportional to 29,003.06 and 62,742.09

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Solution

The third proportional to 29,003.06 and 62,742.09 is: 135,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,003.06 : 62,742.09 = 62,742.09 : x
  2. Step 2: Convert to fraction form
    29,003.06/62,742.09 = 62,742.09/x
  3. Step 3: Cross multiply
    29,003.06x = 62,742.09 × 62,742.09
  4. Step 4: Simplify right side
    29,003.06x = 3,936,570,328.13
  5. Step 5: Solve for x
    x = 3,936,570,328.13/29,003.06
  6. Step 6: Final answer
    x = 135,729.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.