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Finding the Third Proportional to 29,935.83 and 65,612.53

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Solution

The third proportional to 29,935.83 and 65,612.53 is: 143,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,935.83 : 65,612.53 = 65,612.53 : x
  2. Step 2: Convert to fraction form
    29,935.83/65,612.53 = 65,612.53/x
  3. Step 3: Cross multiply
    29,935.83x = 65,612.53 × 65,612.53
  4. Step 4: Simplify right side
    29,935.83x = 4,305,004,257.03
  5. Step 5: Solve for x
    x = 4,305,004,257.03/29,935.83
  6. Step 6: Final answer
    x = 143,807.76

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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.