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Finding the Third Proportional to 9,318.94 and 18,629.44

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Solution

The third proportional to 9,318.94 and 18,629.44 is: 37,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.94 : 18,629.44 = 18,629.44 : x
  2. Step 2: Convert to fraction form
    9,318.94/18,629.44 = 18,629.44/x
  3. Step 3: Cross multiply
    9,318.94x = 18,629.44 × 18,629.44
  4. Step 4: Simplify right side
    9,318.94x = 347,055,941.57
  5. Step 5: Solve for x
    x = 347,055,941.57/9,318.94
  6. Step 6: Final answer
    x = 37,242.01

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.