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Finding the Third Proportional to 29,559.94 and 39,826.69

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Solution

The third proportional to 29,559.94 and 39,826.69 is: 53,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,559.94 : 39,826.69 = 39,826.69 : x
  2. Step 2: Convert to fraction form
    29,559.94/39,826.69 = 39,826.69/x
  3. Step 3: Cross multiply
    29,559.94x = 39,826.69 × 39,826.69
  4. Step 4: Simplify right side
    29,559.94x = 1,586,165,037.22
  5. Step 5: Solve for x
    x = 1,586,165,037.22/29,559.94
  6. Step 6: Final answer
    x = 53,659.28

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.