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Finding the Third Proportional to 11,811 and 24,985.50

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Solution

The third proportional to 11,811 and 24,985.50 is: 52,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811 : 24,985.50 = 24,985.50 : x
  2. Step 2: Convert to fraction form
    11,811/24,985.50 = 24,985.50/x
  3. Step 3: Cross multiply
    11,811x = 24,985.50 × 24,985.50
  4. Step 4: Simplify right side
    11,811x = 624,275,210.25
  5. Step 5: Solve for x
    x = 624,275,210.25/11,811
  6. Step 6: Final answer
    x = 52,855.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.