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Finding the Third Proportional to 31,766.34 and 69,066.84

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Solution

The third proportional to 31,766.34 and 69,066.84 is: 150,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,766.34 : 69,066.84 = 69,066.84 : x
  2. Step 2: Convert to fraction form
    31,766.34/69,066.84 = 69,066.84/x
  3. Step 3: Cross multiply
    31,766.34x = 69,066.84 × 69,066.84
  4. Step 4: Simplify right side
    31,766.34x = 4,770,228,905.59
  5. Step 5: Solve for x
    x = 4,770,228,905.59/31,766.34
  6. Step 6: Final answer
    x = 150,166.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.