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Finding the Third Proportional to 2,155.36 and 2,806.52

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Solution

The third proportional to 2,155.36 and 2,806.52 is: 3,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.36 : 2,806.52 = 2,806.52 : x
  2. Step 2: Convert to fraction form
    2,155.36/2,806.52 = 2,806.52/x
  3. Step 3: Cross multiply
    2,155.36x = 2,806.52 × 2,806.52
  4. Step 4: Simplify right side
    2,155.36x = 7,876,573.81
  5. Step 5: Solve for x
    x = 7,876,573.81/2,155.36
  6. Step 6: Final answer
    x = 3,654.41

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.