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Finding the Third Proportional to 6,967.50 and 16,851.75

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Solution

The third proportional to 6,967.50 and 16,851.75 is: 40,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.50 : 16,851.75 = 16,851.75 : x
  2. Step 2: Convert to fraction form
    6,967.50/16,851.75 = 16,851.75/x
  3. Step 3: Cross multiply
    6,967.50x = 16,851.75 × 16,851.75
  4. Step 4: Simplify right side
    6,967.50x = 283,981,478.06
  5. Step 5: Solve for x
    x = 283,981,478.06/6,967.50
  6. Step 6: Final answer
    x = 40,758.02

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.