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Finding the Third Proportional to 3,647 and 5,503.75

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Solution

The third proportional to 3,647 and 5,503.75 is: 8,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647 : 5,503.75 = 5,503.75 : x
  2. Step 2: Convert to fraction form
    3,647/5,503.75 = 5,503.75/x
  3. Step 3: Cross multiply
    3,647x = 5,503.75 × 5,503.75
  4. Step 4: Simplify right side
    3,647x = 30,291,264.06
  5. Step 5: Solve for x
    x = 30,291,264.06/3,647
  6. Step 6: Final answer
    x = 8,305.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.