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Finding the Third Proportional to 6,200.30 and 13,518.77

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Solution

The third proportional to 6,200.30 and 13,518.77 is: 29,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.30 : 13,518.77 = 13,518.77 : x
  2. Step 2: Convert to fraction form
    6,200.30/13,518.77 = 13,518.77/x
  3. Step 3: Cross multiply
    6,200.30x = 13,518.77 × 13,518.77
  4. Step 4: Simplify right side
    6,200.30x = 182,757,235.25
  5. Step 5: Solve for x
    x = 182,757,235.25/6,200.30
  6. Step 6: Final answer
    x = 29,475.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.