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Finding the Third Proportional to 8,185.97 and 12,513.84

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Solution

The third proportional to 8,185.97 and 12,513.84 is: 19,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.97 : 12,513.84 = 12,513.84 : x
  2. Step 2: Convert to fraction form
    8,185.97/12,513.84 = 12,513.84/x
  3. Step 3: Cross multiply
    8,185.97x = 12,513.84 × 12,513.84
  4. Step 4: Simplify right side
    8,185.97x = 156,596,285.40
  5. Step 5: Solve for x
    x = 156,596,285.40/8,185.97
  6. Step 6: Final answer
    x = 19,129.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.