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Finding the Third Proportional to 2,975 and 7,001

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Solution

The third proportional to 2,975 and 7,001 is: 16,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975 : 7,001 = 7,001 : x
  2. Step 2: Convert to fraction form
    2,975/7,001 = 7,001/x
  3. Step 3: Cross multiply
    2,975x = 7,001 × 7,001
  4. Step 4: Simplify right side
    2,975x = 49,014,001
  5. Step 5: Solve for x
    x = 49,014,001/2,975
  6. Step 6: Final answer
    x = 16,475.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.