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Finding the Third Proportional to 4,341.94 and 6,727.41

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Solution

The third proportional to 4,341.94 and 6,727.41 is: 10,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.94 : 6,727.41 = 6,727.41 : x
  2. Step 2: Convert to fraction form
    4,341.94/6,727.41 = 6,727.41/x
  3. Step 3: Cross multiply
    4,341.94x = 6,727.41 × 6,727.41
  4. Step 4: Simplify right side
    4,341.94x = 45,257,994.85
  5. Step 5: Solve for x
    x = 45,257,994.85/4,341.94
  6. Step 6: Final answer
    x = 10,423.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.