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Finding the Third Proportional to 7,889.91 and 16,865.72

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Solution

The third proportional to 7,889.91 and 16,865.72 is: 36,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.91 : 16,865.72 = 16,865.72 : x
  2. Step 2: Convert to fraction form
    7,889.91/16,865.72 = 16,865.72/x
  3. Step 3: Cross multiply
    7,889.91x = 16,865.72 × 16,865.72
  4. Step 4: Simplify right side
    7,889.91x = 284,452,468.95
  5. Step 5: Solve for x
    x = 284,452,468.95/7,889.91
  6. Step 6: Final answer
    x = 36,052.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.