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Finding the Third Proportional to 7,960.50 and 12,201.75

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Solution

The third proportional to 7,960.50 and 12,201.75 is: 18,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.50 : 12,201.75 = 12,201.75 : x
  2. Step 2: Convert to fraction form
    7,960.50/12,201.75 = 12,201.75/x
  3. Step 3: Cross multiply
    7,960.50x = 12,201.75 × 12,201.75
  4. Step 4: Simplify right side
    7,960.50x = 148,882,703.06
  5. Step 5: Solve for x
    x = 148,882,703.06/7,960.50
  6. Step 6: Final answer
    x = 18,702.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.