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Finding the Third Proportional to 2,150.25 and 3,326.63

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Solution

The third proportional to 2,150.25 and 3,326.63 is: 5,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.25 : 3,326.63 = 3,326.63 : x
  2. Step 2: Convert to fraction form
    2,150.25/3,326.63 = 3,326.63/x
  3. Step 3: Cross multiply
    2,150.25x = 3,326.63 × 3,326.63
  4. Step 4: Simplify right side
    2,150.25x = 11,066,433.89
  5. Step 5: Solve for x
    x = 11,066,433.89/2,150.25
  6. Step 6: Final answer
    x = 5,146.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.