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Finding the Third Proportional to 2,973 and 8,004

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Solution

The third proportional to 2,973 and 8,004 is: 21,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973 : 8,004 = 8,004 : x
  2. Step 2: Convert to fraction form
    2,973/8,004 = 8,004/x
  3. Step 3: Cross multiply
    2,973x = 8,004 × 8,004
  4. Step 4: Simplify right side
    2,973x = 64,064,016
  5. Step 5: Solve for x
    x = 64,064,016/2,973
  6. Step 6: Final answer
    x = 21,548.61

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.