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Finding the Third Proportional to 32,427.56 and 69,857.44

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Solution

The third proportional to 32,427.56 and 69,857.44 is: 150,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427.56 : 69,857.44 = 69,857.44 : x
  2. Step 2: Convert to fraction form
    32,427.56/69,857.44 = 69,857.44/x
  3. Step 3: Cross multiply
    32,427.56x = 69,857.44 × 69,857.44
  4. Step 4: Simplify right side
    32,427.56x = 4,880,061,574.07
  5. Step 5: Solve for x
    x = 4,880,061,574.07/32,427.56
  6. Step 6: Final answer
    x = 150,491.16

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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.