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Finding the Third Proportional to 2,767 and 4,290.50

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Solution

The third proportional to 2,767 and 4,290.50 is: 6,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767 : 4,290.50 = 4,290.50 : x
  2. Step 2: Convert to fraction form
    2,767/4,290.50 = 4,290.50/x
  3. Step 3: Cross multiply
    2,767x = 4,290.50 × 4,290.50
  4. Step 4: Simplify right side
    2,767x = 18,408,390.25
  5. Step 5: Solve for x
    x = 18,408,390.25/2,767
  6. Step 6: Final answer
    x = 6,652.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.