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Finding the Third Proportional to 21,133 and 31,781

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Solution

The third proportional to 21,133 and 31,781 is: 47,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133 : 31,781 = 31,781 : x
  2. Step 2: Convert to fraction form
    21,133/31,781 = 31,781/x
  3. Step 3: Cross multiply
    21,133x = 31,781 × 31,781
  4. Step 4: Simplify right side
    21,133x = 1,010,031,961
  5. Step 5: Solve for x
    x = 1,010,031,961/21,133
  6. Step 6: Final answer
    x = 47,794.06

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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.