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Finding the Third Proportional to 4,847.75 and 10,055.50

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Solution

The third proportional to 4,847.75 and 10,055.50 is: 20,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.75 : 10,055.50 = 10,055.50 : x
  2. Step 2: Convert to fraction form
    4,847.75/10,055.50 = 10,055.50/x
  3. Step 3: Cross multiply
    4,847.75x = 10,055.50 × 10,055.50
  4. Step 4: Simplify right side
    4,847.75x = 101,113,080.25
  5. Step 5: Solve for x
    x = 101,113,080.25/4,847.75
  6. Step 6: Final answer
    x = 20,857.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.