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Finding the Third Proportional to 4,161.94 and 4,503.38

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Solution

The third proportional to 4,161.94 and 4,503.38 is: 4,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.94 : 4,503.38 = 4,503.38 : x
  2. Step 2: Convert to fraction form
    4,161.94/4,503.38 = 4,503.38/x
  3. Step 3: Cross multiply
    4,161.94x = 4,503.38 × 4,503.38
  4. Step 4: Simplify right side
    4,161.94x = 20,280,386.39
  5. Step 5: Solve for x
    x = 20,280,386.39/4,161.94
  6. Step 6: Final answer
    x = 4,872.82

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.