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Finding the Third Proportional to 4,718 and 8,296

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Solution

The third proportional to 4,718 and 8,296 is: 14,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718 : 8,296 = 8,296 : x
  2. Step 2: Convert to fraction form
    4,718/8,296 = 8,296/x
  3. Step 3: Cross multiply
    4,718x = 8,296 × 8,296
  4. Step 4: Simplify right side
    4,718x = 68,823,616
  5. Step 5: Solve for x
    x = 68,823,616/4,718
  6. Step 6: Final answer
    x = 14,587.46

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.