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Finding the Third Proportional to 25,185.94 and 37,427.06

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Solution

The third proportional to 25,185.94 and 37,427.06 is: 55,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,185.94 : 37,427.06 = 37,427.06 : x
  2. Step 2: Convert to fraction form
    25,185.94/37,427.06 = 37,427.06/x
  3. Step 3: Cross multiply
    25,185.94x = 37,427.06 × 37,427.06
  4. Step 4: Simplify right side
    25,185.94x = 1,400,785,007.38
  5. Step 5: Solve for x
    x = 1,400,785,007.38/25,185.94
  6. Step 6: Final answer
    x = 55,617.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.