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Finding the Third Proportional to 7,943.06 and 16,940.81

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Solution

The third proportional to 7,943.06 and 16,940.81 is: 36,131.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.06 : 16,940.81 = 16,940.81 : x
  2. Step 2: Convert to fraction form
    7,943.06/16,940.81 = 16,940.81/x
  3. Step 3: Cross multiply
    7,943.06x = 16,940.81 × 16,940.81
  4. Step 4: Simplify right side
    7,943.06x = 286,991,128.16
  5. Step 5: Solve for x
    x = 286,991,128.16/7,943.06
  6. Step 6: Final answer
    x = 36,131.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.