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Finding the Third Proportional to 31,557.09 and 66,736.41

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Solution

The third proportional to 31,557.09 and 66,736.41 is: 141,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,557.09 : 66,736.41 = 66,736.41 : x
  2. Step 2: Convert to fraction form
    31,557.09/66,736.41 = 66,736.41/x
  3. Step 3: Cross multiply
    31,557.09x = 66,736.41 × 66,736.41
  4. Step 4: Simplify right side
    31,557.09x = 4,453,747,919.17
  5. Step 5: Solve for x
    x = 4,453,747,919.17/31,557.09
  6. Step 6: Final answer
    x = 141,133.02

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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.