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Finding the Third Proportional to 8,226.50 and 13,247.50

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Solution

The third proportional to 8,226.50 and 13,247.50 is: 21,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.50 : 13,247.50 = 13,247.50 : x
  2. Step 2: Convert to fraction form
    8,226.50/13,247.50 = 13,247.50/x
  3. Step 3: Cross multiply
    8,226.50x = 13,247.50 × 13,247.50
  4. Step 4: Simplify right side
    8,226.50x = 175,496,256.25
  5. Step 5: Solve for x
    x = 175,496,256.25/8,226.50
  6. Step 6: Final answer
    x = 21,333.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.