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Finding the Third Proportional to 2,765 and 3,657.50

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Solution

The third proportional to 2,765 and 3,657.50 is: 4,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765 : 3,657.50 = 3,657.50 : x
  2. Step 2: Convert to fraction form
    2,765/3,657.50 = 3,657.50/x
  3. Step 3: Cross multiply
    2,765x = 3,657.50 × 3,657.50
  4. Step 4: Simplify right side
    2,765x = 13,377,306.25
  5. Step 5: Solve for x
    x = 13,377,306.25/2,765
  6. Step 6: Final answer
    x = 4,838.09

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.