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Finding the Third Proportional to 1,518.05 and 2,278.55

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Solution

The third proportional to 1,518.05 and 2,278.55 is: 3,420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.05 : 2,278.55 = 2,278.55 : x
  2. Step 2: Convert to fraction form
    1,518.05/2,278.55 = 2,278.55/x
  3. Step 3: Cross multiply
    1,518.05x = 2,278.55 × 2,278.55
  4. Step 4: Simplify right side
    1,518.05x = 5,191,775.86
  5. Step 5: Solve for x
    x = 5,191,775.86/1,518.05
  6. Step 6: Final answer
    x = 3,420.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.