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Finding the Third Proportional to 4,176 and 6,296

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Solution

The third proportional to 4,176 and 6,296 is: 9,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176 : 6,296 = 6,296 : x
  2. Step 2: Convert to fraction form
    4,176/6,296 = 6,296/x
  3. Step 3: Cross multiply
    4,176x = 6,296 × 6,296
  4. Step 4: Simplify right side
    4,176x = 39,639,616
  5. Step 5: Solve for x
    x = 39,639,616/4,176
  6. Step 6: Final answer
    x = 9,492.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.