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Finding the Third Proportional to 25,997 and 36,221.50

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Solution

The third proportional to 25,997 and 36,221.50 is: 50,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,997 : 36,221.50 = 36,221.50 : x
  2. Step 2: Convert to fraction form
    25,997/36,221.50 = 36,221.50/x
  3. Step 3: Cross multiply
    25,997x = 36,221.50 × 36,221.50
  4. Step 4: Simplify right side
    25,997x = 1,311,997,062.25
  5. Step 5: Solve for x
    x = 1,311,997,062.25/25,997
  6. Step 6: Final answer
    x = 50,467.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.