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Finding the Third Proportional to 5,240 and 11,074

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Solution

The third proportional to 5,240 and 11,074 is: 23,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240 : 11,074 = 11,074 : x
  2. Step 2: Convert to fraction form
    5,240/11,074 = 11,074/x
  3. Step 3: Cross multiply
    5,240x = 11,074 × 11,074
  4. Step 4: Simplify right side
    5,240x = 122,633,476
  5. Step 5: Solve for x
    x = 122,633,476/5,240
  6. Step 6: Final answer
    x = 23,403.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.