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Finding the Third Proportional to 8,601.82 and 12,570.82

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Solution

The third proportional to 8,601.82 and 12,570.82 is: 18,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.82 : 12,570.82 = 12,570.82 : x
  2. Step 2: Convert to fraction form
    8,601.82/12,570.82 = 12,570.82/x
  3. Step 3: Cross multiply
    8,601.82x = 12,570.82 × 12,570.82
  4. Step 4: Simplify right side
    8,601.82x = 158,025,523.33
  5. Step 5: Solve for x
    x = 158,025,523.33/8,601.82
  6. Step 6: Final answer
    x = 18,371.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.