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Finding the Third Proportional to 5,176 and 6,830

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Solution

The third proportional to 5,176 and 6,830 is: 9,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176 : 6,830 = 6,830 : x
  2. Step 2: Convert to fraction form
    5,176/6,830 = 6,830/x
  3. Step 3: Cross multiply
    5,176x = 6,830 × 6,830
  4. Step 4: Simplify right side
    5,176x = 46,648,900
  5. Step 5: Solve for x
    x = 46,648,900/5,176
  6. Step 6: Final answer
    x = 9,012.54

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.