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Finding the Third Proportional to 5,847.50 and 7,763

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Solution

The third proportional to 5,847.50 and 7,763 is: 10,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.50 : 7,763 = 7,763 : x
  2. Step 2: Convert to fraction form
    5,847.50/7,763 = 7,763/x
  3. Step 3: Cross multiply
    5,847.50x = 7,763 × 7,763
  4. Step 4: Simplify right side
    5,847.50x = 60,264,169
  5. Step 5: Solve for x
    x = 60,264,169/5,847.50
  6. Step 6: Final answer
    x = 10,305.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.