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Finding the Third Proportional to 7,683.38 and 16,596.94

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Solution

The third proportional to 7,683.38 and 16,596.94 is: 35,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.38 : 16,596.94 = 16,596.94 : x
  2. Step 2: Convert to fraction form
    7,683.38/16,596.94 = 16,596.94/x
  3. Step 3: Cross multiply
    7,683.38x = 16,596.94 × 16,596.94
  4. Step 4: Simplify right side
    7,683.38x = 275,458,334.38
  5. Step 5: Solve for x
    x = 275,458,334.38/7,683.38
  6. Step 6: Final answer
    x = 35,851.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.