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Finding the Third Proportional to 5,733 and 8,763.75

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Solution

The third proportional to 5,733 and 8,763.75 is: 13,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733 : 8,763.75 = 8,763.75 : x
  2. Step 2: Convert to fraction form
    5,733/8,763.75 = 8,763.75/x
  3. Step 3: Cross multiply
    5,733x = 8,763.75 × 8,763.75
  4. Step 4: Simplify right side
    5,733x = 76,803,314.06
  5. Step 5: Solve for x
    x = 76,803,314.06/5,733
  6. Step 6: Final answer
    x = 13,396.71

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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.