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Finding the Third Proportional to 4,032.49 and 8,682.93

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Solution

The third proportional to 4,032.49 and 8,682.93 is: 18,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.49 : 8,682.93 = 8,682.93 : x
  2. Step 2: Convert to fraction form
    4,032.49/8,682.93 = 8,682.93/x
  3. Step 3: Cross multiply
    4,032.49x = 8,682.93 × 8,682.93
  4. Step 4: Simplify right side
    4,032.49x = 75,393,200.12
  5. Step 5: Solve for x
    x = 75,393,200.12/4,032.49
  6. Step 6: Final answer
    x = 18,696.43

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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.