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Finding the Third Proportional to 21,027 and 31,629

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Solution

The third proportional to 21,027 and 31,629 is: 47,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,027 : 31,629 = 31,629 : x
  2. Step 2: Convert to fraction form
    21,027/31,629 = 31,629/x
  3. Step 3: Cross multiply
    21,027x = 31,629 × 31,629
  4. Step 4: Simplify right side
    21,027x = 1,000,393,641
  5. Step 5: Solve for x
    x = 1,000,393,641/21,027
  6. Step 6: Final answer
    x = 47,576.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.