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Finding the Third Proportional to 6,006 and 7,970

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Solution

The third proportional to 6,006 and 7,970 is: 10,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006 : 7,970 = 7,970 : x
  2. Step 2: Convert to fraction form
    6,006/7,970 = 7,970/x
  3. Step 3: Cross multiply
    6,006x = 7,970 × 7,970
  4. Step 4: Simplify right side
    6,006x = 63,520,900
  5. Step 5: Solve for x
    x = 63,520,900/6,006
  6. Step 6: Final answer
    x = 10,576.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.