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Finding the Third Proportional to 4,114.69 and 6,364.97

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Solution

The third proportional to 4,114.69 and 6,364.97 is: 9,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.69 : 6,364.97 = 6,364.97 : x
  2. Step 2: Convert to fraction form
    4,114.69/6,364.97 = 6,364.97/x
  3. Step 3: Cross multiply
    4,114.69x = 6,364.97 × 6,364.97
  4. Step 4: Simplify right side
    4,114.69x = 40,512,827.19
  5. Step 5: Solve for x
    x = 40,512,827.19/4,114.69
  6. Step 6: Final answer
    x = 9,845.91

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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.