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Finding the Third Proportional to 4,941.75 and 11,812.13

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Solution

The third proportional to 4,941.75 and 11,812.13 is: 28,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.75 : 11,812.13 = 11,812.13 : x
  2. Step 2: Convert to fraction form
    4,941.75/11,812.13 = 11,812.13/x
  3. Step 3: Cross multiply
    4,941.75x = 11,812.13 × 11,812.13
  4. Step 4: Simplify right side
    4,941.75x = 139,526,297.02
  5. Step 5: Solve for x
    x = 139,526,297.02/4,941.75
  6. Step 6: Final answer
    x = 28,234.19

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.