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Finding the Third Proportional to 3,423.94 and 4,908.09

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Solution

The third proportional to 3,423.94 and 4,908.09 is: 7,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.94 : 4,908.09 = 4,908.09 : x
  2. Step 2: Convert to fraction form
    3,423.94/4,908.09 = 4,908.09/x
  3. Step 3: Cross multiply
    3,423.94x = 4,908.09 × 4,908.09
  4. Step 4: Simplify right side
    3,423.94x = 24,089,384.26
  5. Step 5: Solve for x
    x = 24,089,384.26/3,423.94
  6. Step 6: Final answer
    x = 7,035.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.