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Finding the Third Proportional to 4,176 and 5,874.19

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Solution

The third proportional to 4,176 and 5,874.19 is: 8,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176 : 5,874.19 = 5,874.19 : x
  2. Step 2: Convert to fraction form
    4,176/5,874.19 = 5,874.19/x
  3. Step 3: Cross multiply
    4,176x = 5,874.19 × 5,874.19
  4. Step 4: Simplify right side
    4,176x = 34,506,078.79
  5. Step 5: Solve for x
    x = 34,506,078.79/4,176
  6. Step 6: Final answer
    x = 8,262.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.