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Finding the Third Proportional to 11,890.50 and 14,050.50

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Solution

The third proportional to 11,890.50 and 14,050.50 is: 16,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.50 : 14,050.50 = 14,050.50 : x
  2. Step 2: Convert to fraction form
    11,890.50/14,050.50 = 14,050.50/x
  3. Step 3: Cross multiply
    11,890.50x = 14,050.50 × 14,050.50
  4. Step 4: Simplify right side
    11,890.50x = 197,416,550.25
  5. Step 5: Solve for x
    x = 197,416,550.25/11,890.50
  6. Step 6: Final answer
    x = 16,602.88

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.