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Finding the Third Proportional to 26,757 and 37,392.75

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Solution

The third proportional to 26,757 and 37,392.75 is: 52,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,757 : 37,392.75 = 37,392.75 : x
  2. Step 2: Convert to fraction form
    26,757/37,392.75 = 37,392.75/x
  3. Step 3: Cross multiply
    26,757x = 37,392.75 × 37,392.75
  4. Step 4: Simplify right side
    26,757x = 1,398,217,752.56
  5. Step 5: Solve for x
    x = 1,398,217,752.56/26,757
  6. Step 6: Final answer
    x = 52,256.15

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.