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Finding the Third Proportional to 17,285.25 and 37,698.94

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Solution

The third proportional to 17,285.25 and 37,698.94 is: 82,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,285.25 : 37,698.94 = 37,698.94 : x
  2. Step 2: Convert to fraction form
    17,285.25/37,698.94 = 37,698.94/x
  3. Step 3: Cross multiply
    17,285.25x = 37,698.94 × 37,698.94
  4. Step 4: Simplify right side
    17,285.25x = 1,421,209,888.63
  5. Step 5: Solve for x
    x = 1,421,209,888.63/17,285.25
  6. Step 6: Final answer
    x = 82,220.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.