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Finding the Third Proportional to 21,120.75 and 31,757.06

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Solution

The third proportional to 21,120.75 and 31,757.06 is: 47,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120.75 : 31,757.06 = 31,757.06 : x
  2. Step 2: Convert to fraction form
    21,120.75/31,757.06 = 31,757.06/x
  3. Step 3: Cross multiply
    21,120.75x = 31,757.06 × 31,757.06
  4. Step 4: Simplify right side
    21,120.75x = 1,008,511,018.63
  5. Step 5: Solve for x
    x = 1,008,511,018.63/21,120.75
  6. Step 6: Final answer
    x = 47,749.77

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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.