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Finding the Third Proportional to 11,098.50 and 24,019.50

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Solution

The third proportional to 11,098.50 and 24,019.50 is: 51,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.50 : 24,019.50 = 24,019.50 : x
  2. Step 2: Convert to fraction form
    11,098.50/24,019.50 = 24,019.50/x
  3. Step 3: Cross multiply
    11,098.50x = 24,019.50 × 24,019.50
  4. Step 4: Simplify right side
    11,098.50x = 576,936,380.25
  5. Step 5: Solve for x
    x = 576,936,380.25/11,098.50
  6. Step 6: Final answer
    x = 51,983.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.