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Finding the Third Proportional to 10,067.50 and 21,685

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Solution

The third proportional to 10,067.50 and 21,685 is: 46,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.50 : 21,685 = 21,685 : x
  2. Step 2: Convert to fraction form
    10,067.50/21,685 = 21,685/x
  3. Step 3: Cross multiply
    10,067.50x = 21,685 × 21,685
  4. Step 4: Simplify right side
    10,067.50x = 470,239,225
  5. Step 5: Solve for x
    x = 470,239,225/10,067.50
  6. Step 6: Final answer
    x = 46,708.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.