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Finding the Third Proportional to 1,908.75 and 2,811.75

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Solution

The third proportional to 1,908.75 and 2,811.75 is: 4,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.75 : 2,811.75 = 2,811.75 : x
  2. Step 2: Convert to fraction form
    1,908.75/2,811.75 = 2,811.75/x
  3. Step 3: Cross multiply
    1,908.75x = 2,811.75 × 2,811.75
  4. Step 4: Simplify right side
    1,908.75x = 7,905,938.06
  5. Step 5: Solve for x
    x = 7,905,938.06/1,908.75
  6. Step 6: Final answer
    x = 4,141.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.