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Finding the Third Proportional to 32,884.50 and 71,355

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Solution

The third proportional to 32,884.50 and 71,355 is: 154,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.50 : 71,355 = 71,355 : x
  2. Step 2: Convert to fraction form
    32,884.50/71,355 = 71,355/x
  3. Step 3: Cross multiply
    32,884.50x = 71,355 × 71,355
  4. Step 4: Simplify right side
    32,884.50x = 5,091,536,025
  5. Step 5: Solve for x
    x = 5,091,536,025/32,884.50
  6. Step 6: Final answer
    x = 154,830.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.