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Finding the Third Proportional to 8,014 and 11,954.50

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Solution

The third proportional to 8,014 and 11,954.50 is: 17,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014 : 11,954.50 = 11,954.50 : x
  2. Step 2: Convert to fraction form
    8,014/11,954.50 = 11,954.50/x
  3. Step 3: Cross multiply
    8,014x = 11,954.50 × 11,954.50
  4. Step 4: Simplify right side
    8,014x = 142,910,070.25
  5. Step 5: Solve for x
    x = 142,910,070.25/8,014
  6. Step 6: Final answer
    x = 17,832.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.