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Finding the Third Proportional to 32,433.38 and 69,717.03

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Solution

The third proportional to 32,433.38 and 69,717.03 is: 149,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,433.38 : 69,717.03 = 69,717.03 : x
  2. Step 2: Convert to fraction form
    32,433.38/69,717.03 = 69,717.03/x
  3. Step 3: Cross multiply
    32,433.38x = 69,717.03 × 69,717.03
  4. Step 4: Simplify right side
    32,433.38x = 4,860,464,582.48
  5. Step 5: Solve for x
    x = 4,860,464,582.48/32,433.38
  6. Step 6: Final answer
    x = 149,859.94

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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.