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Finding the Third Proportional to 17,055 and 35,797.50

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Solution

The third proportional to 17,055 and 35,797.50 is: 75,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,055 : 35,797.50 = 35,797.50 : x
  2. Step 2: Convert to fraction form
    17,055/35,797.50 = 35,797.50/x
  3. Step 3: Cross multiply
    17,055x = 35,797.50 × 35,797.50
  4. Step 4: Simplify right side
    17,055x = 1,281,461,006.25
  5. Step 5: Solve for x
    x = 1,281,461,006.25/17,055
  6. Step 6: Final answer
    x = 75,136.97

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.