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Finding the Third Proportional to 8,429.25 and 12,141.75

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Solution

The third proportional to 8,429.25 and 12,141.75 is: 17,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.25 : 12,141.75 = 12,141.75 : x
  2. Step 2: Convert to fraction form
    8,429.25/12,141.75 = 12,141.75/x
  3. Step 3: Cross multiply
    8,429.25x = 12,141.75 × 12,141.75
  4. Step 4: Simplify right side
    8,429.25x = 147,422,093.06
  5. Step 5: Solve for x
    x = 147,422,093.06/8,429.25
  6. Step 6: Final answer
    x = 17,489.35

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.