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Finding the Third Proportional to 4,810.50 and 10,865.25

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Solution

The third proportional to 4,810.50 and 10,865.25 is: 24,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.50 : 10,865.25 = 10,865.25 : x
  2. Step 2: Convert to fraction form
    4,810.50/10,865.25 = 10,865.25/x
  3. Step 3: Cross multiply
    4,810.50x = 10,865.25 × 10,865.25
  4. Step 4: Simplify right side
    4,810.50x = 118,053,657.56
  5. Step 5: Solve for x
    x = 118,053,657.56/4,810.50
  6. Step 6: Final answer
    x = 24,540.83

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.