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Finding the Third Proportional to 17,206.50 and 38,097.94

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Solution

The third proportional to 17,206.50 and 38,097.94 is: 84,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.50 : 38,097.94 = 38,097.94 : x
  2. Step 2: Convert to fraction form
    17,206.50/38,097.94 = 38,097.94/x
  3. Step 3: Cross multiply
    17,206.50x = 38,097.94 × 38,097.94
  4. Step 4: Simplify right side
    17,206.50x = 1,451,452,841.75
  5. Step 5: Solve for x
    x = 1,451,452,841.75/17,206.50
  6. Step 6: Final answer
    x = 84,354.91

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.