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Finding the Third Proportional to 8,240 and 13,388

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Solution

The third proportional to 8,240 and 13,388 is: 21,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240 : 13,388 = 13,388 : x
  2. Step 2: Convert to fraction form
    8,240/13,388 = 13,388/x
  3. Step 3: Cross multiply
    8,240x = 13,388 × 13,388
  4. Step 4: Simplify right side
    8,240x = 179,238,544
  5. Step 5: Solve for x
    x = 179,238,544/8,240
  6. Step 6: Final answer
    x = 21,752.25

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.