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Finding the Third Proportional to 26,775 and 57,570

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Solution

The third proportional to 26,775 and 57,570 is: 123,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,775 : 57,570 = 57,570 : x
  2. Step 2: Convert to fraction form
    26,775/57,570 = 57,570/x
  3. Step 3: Cross multiply
    26,775x = 57,570 × 57,570
  4. Step 4: Simplify right side
    26,775x = 3,314,304,900
  5. Step 5: Solve for x
    x = 3,314,304,900/26,775
  6. Step 6: Final answer
    x = 123,783.56

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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.