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Finding the Third Proportional to 1,015.03 and 1,467.49

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Solution

The third proportional to 1,015.03 and 1,467.49 is: 2,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.03 : 1,467.49 = 1,467.49 : x
  2. Step 2: Convert to fraction form
    1,015.03/1,467.49 = 1,467.49/x
  3. Step 3: Cross multiply
    1,015.03x = 1,467.49 × 1,467.49
  4. Step 4: Simplify right side
    1,015.03x = 2,153,533.32
  5. Step 5: Solve for x
    x = 2,153,533.32/1,015.03
  6. Step 6: Final answer
    x = 2,121.64

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.