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Finding the Third Proportional to 5,635 and 12,185

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Solution

The third proportional to 5,635 and 12,185 is: 26,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635 : 12,185 = 12,185 : x
  2. Step 2: Convert to fraction form
    5,635/12,185 = 12,185/x
  3. Step 3: Cross multiply
    5,635x = 12,185 × 12,185
  4. Step 4: Simplify right side
    5,635x = 148,474,225
  5. Step 5: Solve for x
    x = 148,474,225/5,635
  6. Step 6: Final answer
    x = 26,348.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.