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Finding the Third Proportional to 32,611.36 and 68,722.17

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Solution

The third proportional to 32,611.36 and 68,722.17 is: 144,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,611.36 : 68,722.17 = 68,722.17 : x
  2. Step 2: Convert to fraction form
    32,611.36/68,722.17 = 68,722.17/x
  3. Step 3: Cross multiply
    32,611.36x = 68,722.17 × 68,722.17
  4. Step 4: Simplify right side
    32,611.36x = 4,722,736,907.22
  5. Step 5: Solve for x
    x = 4,722,736,907.22/32,611.36
  6. Step 6: Final answer
    x = 144,818.77

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.