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Finding the Third Proportional to 1,163.53 and 2,536.21

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Solution

The third proportional to 1,163.53 and 2,536.21 is: 5,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.53 : 2,536.21 = 2,536.21 : x
  2. Step 2: Convert to fraction form
    1,163.53/2,536.21 = 2,536.21/x
  3. Step 3: Cross multiply
    1,163.53x = 2,536.21 × 2,536.21
  4. Step 4: Simplify right side
    1,163.53x = 6,432,346.11
  5. Step 5: Solve for x
    x = 6,432,346.11/1,163.53
  6. Step 6: Final answer
    x = 5,528.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.