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Finding the Third Proportional to 11,019 and 17,014.50

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Solution

The third proportional to 11,019 and 17,014.50 is: 26,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019 : 17,014.50 = 17,014.50 : x
  2. Step 2: Convert to fraction form
    11,019/17,014.50 = 17,014.50/x
  3. Step 3: Cross multiply
    11,019x = 17,014.50 × 17,014.50
  4. Step 4: Simplify right side
    11,019x = 289,493,210.25
  5. Step 5: Solve for x
    x = 289,493,210.25/11,019
  6. Step 6: Final answer
    x = 26,272.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.