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Finding the Third Proportional to 7,664.25 and 16,833.75

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Solution

The third proportional to 7,664.25 and 16,833.75 is: 36,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.25 : 16,833.75 = 16,833.75 : x
  2. Step 2: Convert to fraction form
    7,664.25/16,833.75 = 16,833.75/x
  3. Step 3: Cross multiply
    7,664.25x = 16,833.75 × 16,833.75
  4. Step 4: Simplify right side
    7,664.25x = 283,375,139.06
  5. Step 5: Solve for x
    x = 283,375,139.06/7,664.25
  6. Step 6: Final answer
    x = 36,973.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.