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Finding the Third Proportional to 11,913 and 25,651.50

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Solution

The third proportional to 11,913 and 25,651.50 is: 55,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913 : 25,651.50 = 25,651.50 : x
  2. Step 2: Convert to fraction form
    11,913/25,651.50 = 25,651.50/x
  3. Step 3: Cross multiply
    11,913x = 25,651.50 × 25,651.50
  4. Step 4: Simplify right side
    11,913x = 657,999,452.25
  5. Step 5: Solve for x
    x = 657,999,452.25/11,913
  6. Step 6: Final answer
    x = 55,233.73

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Why These Related Problems?

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