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Finding the Third Proportional to 13,168 and 30,856

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Solution

The third proportional to 13,168 and 30,856 is: 72,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,168 : 30,856 = 30,856 : x
  2. Step 2: Convert to fraction form
    13,168/30,856 = 30,856/x
  3. Step 3: Cross multiply
    13,168x = 30,856 × 30,856
  4. Step 4: Simplify right side
    13,168x = 952,092,736
  5. Step 5: Solve for x
    x = 952,092,736/13,168
  6. Step 6: Final answer
    x = 72,303.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.