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Finding the Third Proportional to 1,464.53 and 3,145.49

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Solution

The third proportional to 1,464.53 and 3,145.49 is: 6,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.53 : 3,145.49 = 3,145.49 : x
  2. Step 2: Convert to fraction form
    1,464.53/3,145.49 = 3,145.49/x
  3. Step 3: Cross multiply
    1,464.53x = 3,145.49 × 3,145.49
  4. Step 4: Simplify right side
    1,464.53x = 9,894,096.53
  5. Step 5: Solve for x
    x = 9,894,096.53/1,464.53
  6. Step 6: Final answer
    x = 6,755.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.