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Finding the Third Proportional to 6,248.25 and 13,723.50

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Solution

The third proportional to 6,248.25 and 13,723.50 is: 30,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,248.25 : 13,723.50 = 13,723.50 : x
  2. Step 2: Convert to fraction form
    6,248.25/13,723.50 = 13,723.50/x
  3. Step 3: Cross multiply
    6,248.25x = 13,723.50 × 13,723.50
  4. Step 4: Simplify right side
    6,248.25x = 188,334,452.25
  5. Step 5: Solve for x
    x = 188,334,452.25/6,248.25
  6. Step 6: Final answer
    x = 30,141.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.