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Finding the Third Proportional to 21,159 and 31,672

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Solution

The third proportional to 21,159 and 31,672 is: 47,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159 : 31,672 = 31,672 : x
  2. Step 2: Convert to fraction form
    21,159/31,672 = 31,672/x
  3. Step 3: Cross multiply
    21,159x = 31,672 × 31,672
  4. Step 4: Simplify right side
    21,159x = 1,003,115,584
  5. Step 5: Solve for x
    x = 1,003,115,584/21,159
  6. Step 6: Final answer
    x = 47,408.46

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