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Finding the Third Proportional to 8,063.50 and 11,419.50

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Solution

The third proportional to 8,063.50 and 11,419.50 is: 16,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,063.50 : 11,419.50 = 11,419.50 : x
  2. Step 2: Convert to fraction form
    8,063.50/11,419.50 = 11,419.50/x
  3. Step 3: Cross multiply
    8,063.50x = 11,419.50 × 11,419.50
  4. Step 4: Simplify right side
    8,063.50x = 130,404,980.25
  5. Step 5: Solve for x
    x = 130,404,980.25/8,063.50
  6. Step 6: Final answer
    x = 16,172.26

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.