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Finding the Third Proportional to 23,998.50 and 51,466.50

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Solution

The third proportional to 23,998.50 and 51,466.50 is: 110,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,998.50 : 51,466.50 = 51,466.50 : x
  2. Step 2: Convert to fraction form
    23,998.50/51,466.50 = 51,466.50/x
  3. Step 3: Cross multiply
    23,998.50x = 51,466.50 × 51,466.50
  4. Step 4: Simplify right side
    23,998.50x = 2,648,800,622.25
  5. Step 5: Solve for x
    x = 2,648,800,622.25/23,998.50
  6. Step 6: Final answer
    x = 110,373.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.