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Finding the Third Proportional to 4,124.36 and 6,381.60

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Solution

The third proportional to 4,124.36 and 6,381.60 is: 9,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.36 : 6,381.60 = 6,381.60 : x
  2. Step 2: Convert to fraction form
    4,124.36/6,381.60 = 6,381.60/x
  3. Step 3: Cross multiply
    4,124.36x = 6,381.60 × 6,381.60
  4. Step 4: Simplify right side
    4,124.36x = 40,724,788.65
  5. Step 5: Solve for x
    x = 40,724,788.65/4,124.36
  6. Step 6: Final answer
    x = 9,874.22

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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.