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Finding the Third Proportional to 12,067.50 and 14,518.50

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Solution

The third proportional to 12,067.50 and 14,518.50 is: 17,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,067.50 : 14,518.50 = 14,518.50 : x
  2. Step 2: Convert to fraction form
    12,067.50/14,518.50 = 14,518.50/x
  3. Step 3: Cross multiply
    12,067.50x = 14,518.50 × 14,518.50
  4. Step 4: Simplify right side
    12,067.50x = 210,786,842.25
  5. Step 5: Solve for x
    x = 210,786,842.25/12,067.50
  6. Step 6: Final answer
    x = 17,467.32

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.