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Finding the Third Proportional to 5,300 and 6,738

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Solution

The third proportional to 5,300 and 6,738 is: 8,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300 : 6,738 = 6,738 : x
  2. Step 2: Convert to fraction form
    5,300/6,738 = 6,738/x
  3. Step 3: Cross multiply
    5,300x = 6,738 × 6,738
  4. Step 4: Simplify right side
    5,300x = 45,400,644
  5. Step 5: Solve for x
    x = 45,400,644/5,300
  6. Step 6: Final answer
    x = 8,566.16

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.