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Finding the Third Proportional to 1,795.50 and 2,773.13

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Solution

The third proportional to 1,795.50 and 2,773.13 is: 4,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.50 : 2,773.13 = 2,773.13 : x
  2. Step 2: Convert to fraction form
    1,795.50/2,773.13 = 2,773.13/x
  3. Step 3: Cross multiply
    1,795.50x = 2,773.13 × 2,773.13
  4. Step 4: Simplify right side
    1,795.50x = 7,690,222.27
  5. Step 5: Solve for x
    x = 7,690,222.27/1,795.50
  6. Step 6: Final answer
    x = 4,283.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.