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Finding the Third Proportional to 5,180 and 8,024

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Solution

The third proportional to 5,180 and 8,024 is: 12,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180 : 8,024 = 8,024 : x
  2. Step 2: Convert to fraction form
    5,180/8,024 = 8,024/x
  3. Step 3: Cross multiply
    5,180x = 8,024 × 8,024
  4. Step 4: Simplify right side
    5,180x = 64,384,576
  5. Step 5: Solve for x
    x = 64,384,576/5,180
  6. Step 6: Final answer
    x = 12,429.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.