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Finding the Third Proportional to 13,023.28 and 20,252.53

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Solution

The third proportional to 13,023.28 and 20,252.53 is: 31,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.28 : 20,252.53 = 20,252.53 : x
  2. Step 2: Convert to fraction form
    13,023.28/20,252.53 = 20,252.53/x
  3. Step 3: Cross multiply
    13,023.28x = 20,252.53 × 20,252.53
  4. Step 4: Simplify right side
    13,023.28x = 410,165,022.03
  5. Step 5: Solve for x
    x = 410,165,022.03/13,023.28
  6. Step 6: Final answer
    x = 31,494.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.