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Finding the Third Proportional to 26,908 and 36,937.50

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Solution

The third proportional to 26,908 and 36,937.50 is: 50,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,908 : 36,937.50 = 36,937.50 : x
  2. Step 2: Convert to fraction form
    26,908/36,937.50 = 36,937.50/x
  3. Step 3: Cross multiply
    26,908x = 36,937.50 × 36,937.50
  4. Step 4: Simplify right side
    26,908x = 1,364,378,906.25
  5. Step 5: Solve for x
    x = 1,364,378,906.25/26,908
  6. Step 6: Final answer
    x = 50,705.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.