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Finding the Third Proportional to 32,853.09 and 68,986.69

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Solution

The third proportional to 32,853.09 and 68,986.69 is: 144,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.09 : 68,986.69 = 68,986.69 : x
  2. Step 2: Convert to fraction form
    32,853.09/68,986.69 = 68,986.69/x
  3. Step 3: Cross multiply
    32,853.09x = 68,986.69 × 68,986.69
  4. Step 4: Simplify right side
    32,853.09x = 4,759,163,052.22
  5. Step 5: Solve for x
    x = 4,759,163,052.22/32,853.09
  6. Step 6: Final answer
    x = 144,861.94

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.