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Finding the Third Proportional to 4,160.81 and 8,936.44

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Solution

The third proportional to 4,160.81 and 8,936.44 is: 19,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.81 : 8,936.44 = 8,936.44 : x
  2. Step 2: Convert to fraction form
    4,160.81/8,936.44 = 8,936.44/x
  3. Step 3: Cross multiply
    4,160.81x = 8,936.44 × 8,936.44
  4. Step 4: Simplify right side
    4,160.81x = 79,859,915.19
  5. Step 5: Solve for x
    x = 79,859,915.19/4,160.81
  6. Step 6: Final answer
    x = 19,193.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.