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Finding the Third Proportional to 12,919.50 and 14,256

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Solution

The third proportional to 12,919.50 and 14,256 is: 15,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,919.50 : 14,256 = 14,256 : x
  2. Step 2: Convert to fraction form
    12,919.50/14,256 = 14,256/x
  3. Step 3: Cross multiply
    12,919.50x = 14,256 × 14,256
  4. Step 4: Simplify right side
    12,919.50x = 203,233,536
  5. Step 5: Solve for x
    x = 203,233,536/12,919.50
  6. Step 6: Final answer
    x = 15,730.76

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.