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Finding the Third Proportional to 2,014.00 and 2,705.99

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Solution

The third proportional to 2,014.00 and 2,705.99 is: 3,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.00 : 2,705.99 = 2,705.99 : x
  2. Step 2: Convert to fraction form
    2,014.00/2,705.99 = 2,705.99/x
  3. Step 3: Cross multiply
    2,014.00x = 2,705.99 × 2,705.99
  4. Step 4: Simplify right side
    2,014.00x = 7,322,356.72
  5. Step 5: Solve for x
    x = 7,322,356.72/2,014.00
  6. Step 6: Final answer
    x = 3,635.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.