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Finding the Third Proportional to 1,450.17 and 1,849.55

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Solution

The third proportional to 1,450.17 and 1,849.55 is: 2,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.17 : 1,849.55 = 1,849.55 : x
  2. Step 2: Convert to fraction form
    1,450.17/1,849.55 = 1,849.55/x
  3. Step 3: Cross multiply
    1,450.17x = 1,849.55 × 1,849.55
  4. Step 4: Simplify right side
    1,450.17x = 3,420,845.32
  5. Step 5: Solve for x
    x = 3,420,845.32/1,450.17
  6. Step 6: Final answer
    x = 2,358.93

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.