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Finding the Third Proportional to 24,098.50 and 51,819.50

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Solution

The third proportional to 24,098.50 and 51,819.50 is: 111,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098.50 : 51,819.50 = 51,819.50 : x
  2. Step 2: Convert to fraction form
    24,098.50/51,819.50 = 51,819.50/x
  3. Step 3: Cross multiply
    24,098.50x = 51,819.50 × 51,819.50
  4. Step 4: Simplify right side
    24,098.50x = 2,685,260,580.25
  5. Step 5: Solve for x
    x = 2,685,260,580.25/24,098.50
  6. Step 6: Final answer
    x = 111,428.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.