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Finding the Third Proportional to 2,100.62 and 2,944.00

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Solution

The third proportional to 2,100.62 and 2,944.00 is: 4,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.62 : 2,944.00 = 2,944.00 : x
  2. Step 2: Convert to fraction form
    2,100.62/2,944.00 = 2,944.00/x
  3. Step 3: Cross multiply
    2,100.62x = 2,944.00 × 2,944.00
  4. Step 4: Simplify right side
    2,100.62x = 8,667,147.50
  5. Step 5: Solve for x
    x = 8,667,147.50/2,100.62
  6. Step 6: Final answer
    x = 4,125.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.