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Finding the Third Proportional to 1,455.50 and 2,326.75

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Solution

The third proportional to 1,455.50 and 2,326.75 is: 3,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.50 : 2,326.75 = 2,326.75 : x
  2. Step 2: Convert to fraction form
    1,455.50/2,326.75 = 2,326.75/x
  3. Step 3: Cross multiply
    1,455.50x = 2,326.75 × 2,326.75
  4. Step 4: Simplify right side
    1,455.50x = 5,413,765.56
  5. Step 5: Solve for x
    x = 5,413,765.56/1,455.50
  6. Step 6: Final answer
    x = 3,719.52

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.