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Finding the Third Proportional to 4,684 and 5,296

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Solution

The third proportional to 4,684 and 5,296 is: 5,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684 : 5,296 = 5,296 : x
  2. Step 2: Convert to fraction form
    4,684/5,296 = 5,296/x
  3. Step 3: Cross multiply
    4,684x = 5,296 × 5,296
  4. Step 4: Simplify right side
    4,684x = 28,047,616
  5. Step 5: Solve for x
    x = 28,047,616/4,684
  6. Step 6: Final answer
    x = 5,987.96

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.