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Finding the Third Proportional to 6,455.25 and 13,686.19

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Solution

The third proportional to 6,455.25 and 13,686.19 is: 29,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.25 : 13,686.19 = 13,686.19 : x
  2. Step 2: Convert to fraction form
    6,455.25/13,686.19 = 13,686.19/x
  3. Step 3: Cross multiply
    6,455.25x = 13,686.19 × 13,686.19
  4. Step 4: Simplify right side
    6,455.25x = 187,311,728.29
  5. Step 5: Solve for x
    x = 187,311,728.29/6,455.25
  6. Step 6: Final answer
    x = 29,016.96

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.