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Finding the Third Proportional to 2,055.56 and 2,787.94

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Solution

The third proportional to 2,055.56 and 2,787.94 is: 3,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.56 : 2,787.94 = 2,787.94 : x
  2. Step 2: Convert to fraction form
    2,055.56/2,787.94 = 2,787.94/x
  3. Step 3: Cross multiply
    2,055.56x = 2,787.94 × 2,787.94
  4. Step 4: Simplify right side
    2,055.56x = 7,772,595.50
  5. Step 5: Solve for x
    x = 7,772,595.50/2,055.56
  6. Step 6: Final answer
    x = 3,781.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.