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Finding the Third Proportional to 14,168 and 33,091

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Solution

The third proportional to 14,168 and 33,091 is: 77,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,168 : 33,091 = 33,091 : x
  2. Step 2: Convert to fraction form
    14,168/33,091 = 33,091/x
  3. Step 3: Cross multiply
    14,168x = 33,091 × 33,091
  4. Step 4: Simplify right side
    14,168x = 1,095,014,281
  5. Step 5: Solve for x
    x = 1,095,014,281/14,168
  6. Step 6: Final answer
    x = 77,287.85

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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.