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Finding the Third Proportional to 7,269 and 14,863.50

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Solution

The third proportional to 7,269 and 14,863.50 is: 30,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269 : 14,863.50 = 14,863.50 : x
  2. Step 2: Convert to fraction form
    7,269/14,863.50 = 14,863.50/x
  3. Step 3: Cross multiply
    7,269x = 14,863.50 × 14,863.50
  4. Step 4: Simplify right side
    7,269x = 220,923,632.25
  5. Step 5: Solve for x
    x = 220,923,632.25/7,269
  6. Step 6: Final answer
    x = 30,392.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.