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Finding the Third Proportional to 30,175.50 and 32,908.50

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Solution

The third proportional to 30,175.50 and 32,908.50 is: 35,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.50 : 32,908.50 = 32,908.50 : x
  2. Step 2: Convert to fraction form
    30,175.50/32,908.50 = 32,908.50/x
  3. Step 3: Cross multiply
    30,175.50x = 32,908.50 × 32,908.50
  4. Step 4: Simplify right side
    30,175.50x = 1,082,969,372.25
  5. Step 5: Solve for x
    x = 1,082,969,372.25/30,175.50
  6. Step 6: Final answer
    x = 35,889.03

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.