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Finding the Third Proportional to 8,847 and 13,252.50

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Solution

The third proportional to 8,847 and 13,252.50 is: 19,851.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,847 : 13,252.50 = 13,252.50 : x
  2. Step 2: Convert to fraction form
    8,847/13,252.50 = 13,252.50/x
  3. Step 3: Cross multiply
    8,847x = 13,252.50 × 13,252.50
  4. Step 4: Simplify right side
    8,847x = 175,628,756.25
  5. Step 5: Solve for x
    x = 175,628,756.25/8,847
  6. Step 6: Final answer
    x = 19,851.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.