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Finding the Third Proportional to 26,676.75 and 57,157.13

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Solution

The third proportional to 26,676.75 and 57,157.13 is: 122,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,676.75 : 57,157.13 = 57,157.13 : x
  2. Step 2: Convert to fraction form
    26,676.75/57,157.13 = 57,157.13/x
  3. Step 3: Cross multiply
    26,676.75x = 57,157.13 × 57,157.13
  4. Step 4: Simplify right side
    26,676.75x = 3,266,936,938.27
  5. Step 5: Solve for x
    x = 3,266,936,938.27/26,676.75
  6. Step 6: Final answer
    x = 122,463.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.