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Finding the Third Proportional to 16,098.75 and 23,682.56

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Solution

The third proportional to 16,098.75 and 23,682.56 is: 34,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.75 : 23,682.56 = 23,682.56 : x
  2. Step 2: Convert to fraction form
    16,098.75/23,682.56 = 23,682.56/x
  3. Step 3: Cross multiply
    16,098.75x = 23,682.56 × 23,682.56
  4. Step 4: Simplify right side
    16,098.75x = 560,863,766.57
  5. Step 5: Solve for x
    x = 560,863,766.57/16,098.75
  6. Step 6: Final answer
    x = 34,838.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.