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Finding the Third Proportional to 30,621.75 and 65,617.31

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Solution

The third proportional to 30,621.75 and 65,617.31 is: 140,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,621.75 : 65,617.31 = 65,617.31 : x
  2. Step 2: Convert to fraction form
    30,621.75/65,617.31 = 65,617.31/x
  3. Step 3: Cross multiply
    30,621.75x = 65,617.31 × 65,617.31
  4. Step 4: Simplify right side
    30,621.75x = 4,305,631,699.72
  5. Step 5: Solve for x
    x = 4,305,631,699.72/30,621.75
  6. Step 6: Final answer
    x = 140,606.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.