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Finding the Third Proportional to 29,806.42 and 64,183.32

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Solution

The third proportional to 29,806.42 and 64,183.32 is: 138,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806.42 : 64,183.32 = 64,183.32 : x
  2. Step 2: Convert to fraction form
    29,806.42/64,183.32 = 64,183.32/x
  3. Step 3: Cross multiply
    29,806.42x = 64,183.32 × 64,183.32
  4. Step 4: Simplify right side
    29,806.42x = 4,119,499,107.77
  5. Step 5: Solve for x
    x = 4,119,499,107.77/29,806.42
  6. Step 6: Final answer
    x = 138,208.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.