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Finding the Third Proportional to 17,682.75 and 35,878.50

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Solution

The third proportional to 17,682.75 and 35,878.50 is: 72,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.75 : 35,878.50 = 35,878.50 : x
  2. Step 2: Convert to fraction form
    17,682.75/35,878.50 = 35,878.50/x
  3. Step 3: Cross multiply
    17,682.75x = 35,878.50 × 35,878.50
  4. Step 4: Simplify right side
    17,682.75x = 1,287,266,762.25
  5. Step 5: Solve for x
    x = 1,287,266,762.25/17,682.75
  6. Step 6: Final answer
    x = 72,797.88

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.