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Finding the Third Proportional to 31,563.84 and 69,066.84

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Solution

The third proportional to 31,563.84 and 69,066.84 is: 151,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563.84 : 69,066.84 = 69,066.84 : x
  2. Step 2: Convert to fraction form
    31,563.84/69,066.84 = 69,066.84/x
  3. Step 3: Cross multiply
    31,563.84x = 69,066.84 × 69,066.84
  4. Step 4: Simplify right side
    31,563.84x = 4,770,228,905.59
  5. Step 5: Solve for x
    x = 4,770,228,905.59/31,563.84
  6. Step 6: Final answer
    x = 151,129.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.