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Finding the Third Proportional to 4,804.50 and 10,099.50

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Solution

The third proportional to 4,804.50 and 10,099.50 is: 21,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.50 : 10,099.50 = 10,099.50 : x
  2. Step 2: Convert to fraction form
    4,804.50/10,099.50 = 10,099.50/x
  3. Step 3: Cross multiply
    4,804.50x = 10,099.50 × 10,099.50
  4. Step 4: Simplify right side
    4,804.50x = 101,999,900.25
  5. Step 5: Solve for x
    x = 101,999,900.25/4,804.50
  6. Step 6: Final answer
    x = 21,230.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.