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Finding the Third Proportional to 26,271 and 36,949.50

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Solution

The third proportional to 26,271 and 36,949.50 is: 51,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,271 : 36,949.50 = 36,949.50 : x
  2. Step 2: Convert to fraction form
    26,271/36,949.50 = 36,949.50/x
  3. Step 3: Cross multiply
    26,271x = 36,949.50 × 36,949.50
  4. Step 4: Simplify right side
    26,271x = 1,365,265,550.25
  5. Step 5: Solve for x
    x = 1,365,265,550.25/26,271
  6. Step 6: Final answer
    x = 51,968.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.