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Finding the Third Proportional to 16,175.50 and 35,609

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Solution

The third proportional to 16,175.50 and 35,609 is: 78,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.50 : 35,609 = 35,609 : x
  2. Step 2: Convert to fraction form
    16,175.50/35,609 = 35,609/x
  3. Step 3: Cross multiply
    16,175.50x = 35,609 × 35,609
  4. Step 4: Simplify right side
    16,175.50x = 1,268,000,881
  5. Step 5: Solve for x
    x = 1,268,000,881/16,175.50
  6. Step 6: Final answer
    x = 78,390.21

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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.