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Finding the Third Proportional to 32,826.75 and 70,027.25

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Solution

The third proportional to 32,826.75 and 70,027.25 is: 149,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,826.75 : 70,027.25 = 70,027.25 : x
  2. Step 2: Convert to fraction form
    32,826.75/70,027.25 = 70,027.25/x
  3. Step 3: Cross multiply
    32,826.75x = 70,027.25 × 70,027.25
  4. Step 4: Simplify right side
    32,826.75x = 4,903,815,742.56
  5. Step 5: Solve for x
    x = 4,903,815,742.56/32,826.75
  6. Step 6: Final answer
    x = 149,384.75

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.