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Finding the Third Proportional to 5,189.06 and 7,763.34

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Solution

The third proportional to 5,189.06 and 7,763.34 is: 11,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.06 : 7,763.34 = 7,763.34 : x
  2. Step 2: Convert to fraction form
    5,189.06/7,763.34 = 7,763.34/x
  3. Step 3: Cross multiply
    5,189.06x = 7,763.34 × 7,763.34
  4. Step 4: Simplify right side
    5,189.06x = 60,269,506.18
  5. Step 5: Solve for x
    x = 60,269,506.18/5,189.06
  6. Step 6: Final answer
    x = 11,614.72

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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.