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Finding the Third Proportional to 10,023.75 and 20,252.53

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Solution

The third proportional to 10,023.75 and 20,252.53 is: 40,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.75 : 20,252.53 = 20,252.53 : x
  2. Step 2: Convert to fraction form
    10,023.75/20,252.53 = 20,252.53/x
  3. Step 3: Cross multiply
    10,023.75x = 20,252.53 × 20,252.53
  4. Step 4: Simplify right side
    10,023.75x = 410,165,022.03
  5. Step 5: Solve for x
    x = 410,165,022.03/10,023.75
  6. Step 6: Final answer
    x = 40,919.32

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.