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Finding the Third Proportional to 2,019.30 and 4,334.77

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Solution

The third proportional to 2,019.30 and 4,334.77 is: 9,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.30 : 4,334.77 = 4,334.77 : x
  2. Step 2: Convert to fraction form
    2,019.30/4,334.77 = 4,334.77/x
  3. Step 3: Cross multiply
    2,019.30x = 4,334.77 × 4,334.77
  4. Step 4: Simplify right side
    2,019.30x = 18,790,193.02
  5. Step 5: Solve for x
    x = 18,790,193.02/2,019.30
  6. Step 6: Final answer
    x = 9,305.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.