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Finding the Third Proportional to 43,629.75 and 59,157

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Solution

The third proportional to 43,629.75 and 59,157 is: 80,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,629.75 : 59,157 = 59,157 : x
  2. Step 2: Convert to fraction form
    43,629.75/59,157 = 59,157/x
  3. Step 3: Cross multiply
    43,629.75x = 59,157 × 59,157
  4. Step 4: Simplify right side
    43,629.75x = 3,499,550,649
  5. Step 5: Solve for x
    x = 3,499,550,649/43,629.75
  6. Step 6: Final answer
    x = 80,210.19

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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.