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Finding the Third Proportional to 29,846.81 and 40,559.06

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Solution

The third proportional to 29,846.81 and 40,559.06 is: 55,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,846.81 : 40,559.06 = 40,559.06 : x
  2. Step 2: Convert to fraction form
    29,846.81/40,559.06 = 40,559.06/x
  3. Step 3: Cross multiply
    29,846.81x = 40,559.06 × 40,559.06
  4. Step 4: Simplify right side
    29,846.81x = 1,645,037,550.88
  5. Step 5: Solve for x
    x = 1,645,037,550.88/29,846.81
  6. Step 6: Final answer
    x = 55,116.02

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.