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Finding the Third Proportional to 1,325.95 and 2,845.55

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Solution

The third proportional to 1,325.95 and 2,845.55 is: 6,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.95 : 2,845.55 = 2,845.55 : x
  2. Step 2: Convert to fraction form
    1,325.95/2,845.55 = 2,845.55/x
  3. Step 3: Cross multiply
    1,325.95x = 2,845.55 × 2,845.55
  4. Step 4: Simplify right side
    1,325.95x = 8,097,137.02
  5. Step 5: Solve for x
    x = 8,097,137.02/1,325.95
  6. Step 6: Final answer
    x = 6,106.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.