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Finding the Third Proportional to 32,942.25 and 70,887.75

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Solution

The third proportional to 32,942.25 and 70,887.75 is: 152,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,942.25 : 70,887.75 = 70,887.75 : x
  2. Step 2: Convert to fraction form
    32,942.25/70,887.75 = 70,887.75/x
  3. Step 3: Cross multiply
    32,942.25x = 70,887.75 × 70,887.75
  4. Step 4: Simplify right side
    32,942.25x = 5,025,073,100.06
  5. Step 5: Solve for x
    x = 5,025,073,100.06/32,942.25
  6. Step 6: Final answer
    x = 152,541.89

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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.