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Finding the Third Proportional to 20,427.19 and 31,757.06

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Solution

The third proportional to 20,427.19 and 31,757.06 is: 49,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,427.19 : 31,757.06 = 31,757.06 : x
  2. Step 2: Convert to fraction form
    20,427.19/31,757.06 = 31,757.06/x
  3. Step 3: Cross multiply
    20,427.19x = 31,757.06 × 31,757.06
  4. Step 4: Simplify right side
    20,427.19x = 1,008,511,018.63
  5. Step 5: Solve for x
    x = 1,008,511,018.63/20,427.19
  6. Step 6: Final answer
    x = 49,371.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.