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Finding the Third Proportional to 11,657.25 and 14,019.75

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Solution

The third proportional to 11,657.25 and 14,019.75 is: 16,861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.25 : 14,019.75 = 14,019.75 : x
  2. Step 2: Convert to fraction form
    11,657.25/14,019.75 = 14,019.75/x
  3. Step 3: Cross multiply
    11,657.25x = 14,019.75 × 14,019.75
  4. Step 4: Simplify right side
    11,657.25x = 196,553,390.06
  5. Step 5: Solve for x
    x = 196,553,390.06/11,657.25
  6. Step 6: Final answer
    x = 16,861.04

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Why These Related Problems?

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