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Finding the Third Proportional to 32,429.81 and 71,244.56

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Solution

The third proportional to 32,429.81 and 71,244.56 is: 156,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429.81 : 71,244.56 = 71,244.56 : x
  2. Step 2: Convert to fraction form
    32,429.81/71,244.56 = 71,244.56/x
  3. Step 3: Cross multiply
    32,429.81x = 71,244.56 × 71,244.56
  4. Step 4: Simplify right side
    32,429.81x = 5,075,787,685.82
  5. Step 5: Solve for x
    x = 5,075,787,685.82/32,429.81
  6. Step 6: Final answer
    x = 156,516.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.