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Finding the Third Proportional to 8,993.25 and 13,763.25

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Solution

The third proportional to 8,993.25 and 13,763.25 is: 21,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.25 : 13,763.25 = 13,763.25 : x
  2. Step 2: Convert to fraction form
    8,993.25/13,763.25 = 13,763.25/x
  3. Step 3: Cross multiply
    8,993.25x = 13,763.25 × 13,763.25
  4. Step 4: Simplify right side
    8,993.25x = 189,427,050.56
  5. Step 5: Solve for x
    x = 189,427,050.56/8,993.25
  6. Step 6: Final answer
    x = 21,063.25

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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.