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Finding the Third Proportional to 32,998.85 and 67,535.44

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Solution

The third proportional to 32,998.85 and 67,535.44 is: 138,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998.85 : 67,535.44 = 67,535.44 : x
  2. Step 2: Convert to fraction form
    32,998.85/67,535.44 = 67,535.44/x
  3. Step 3: Cross multiply
    32,998.85x = 67,535.44 × 67,535.44
  4. Step 4: Simplify right side
    32,998.85x = 4,561,035,318.32
  5. Step 5: Solve for x
    x = 4,561,035,318.32/32,998.85
  6. Step 6: Final answer
    x = 138,218.00

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.