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Finding the Third Proportional to 31,703.06 and 66,942.28

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Solution

The third proportional to 31,703.06 and 66,942.28 is: 141,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,703.06 : 66,942.28 = 66,942.28 : x
  2. Step 2: Convert to fraction form
    31,703.06/66,942.28 = 66,942.28/x
  3. Step 3: Cross multiply
    31,703.06x = 66,942.28 × 66,942.28
  4. Step 4: Simplify right side
    31,703.06x = 4,481,269,018.95
  5. Step 5: Solve for x
    x = 4,481,269,018.95/31,703.06
  6. Step 6: Final answer
    x = 141,351.30

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.