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Finding the Third Proportional to 29,796.75 and 65,283.75

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Solution

The third proportional to 29,796.75 and 65,283.75 is: 143,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,796.75 : 65,283.75 = 65,283.75 : x
  2. Step 2: Convert to fraction form
    29,796.75/65,283.75 = 65,283.75/x
  3. Step 3: Cross multiply
    29,796.75x = 65,283.75 × 65,283.75
  4. Step 4: Simplify right side
    29,796.75x = 4,261,968,014.06
  5. Step 5: Solve for x
    x = 4,261,968,014.06/29,796.75
  6. Step 6: Final answer
    x = 143,034.66

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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.