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Finding the Third Proportional to 2,890.75 and 6,236.75

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Solution

The third proportional to 2,890.75 and 6,236.75 is: 13,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.75 : 6,236.75 = 6,236.75 : x
  2. Step 2: Convert to fraction form
    2,890.75/6,236.75 = 6,236.75/x
  3. Step 3: Cross multiply
    2,890.75x = 6,236.75 × 6,236.75
  4. Step 4: Simplify right side
    2,890.75x = 38,897,050.56
  5. Step 5: Solve for x
    x = 38,897,050.56/2,890.75
  6. Step 6: Final answer
    x = 13,455.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.