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Finding the Third Proportional to 26,278 and 57,665

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Solution

The third proportional to 26,278 and 57,665 is: 126,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,278 : 57,665 = 57,665 : x
  2. Step 2: Convert to fraction form
    26,278/57,665 = 57,665/x
  3. Step 3: Cross multiply
    26,278x = 57,665 × 57,665
  4. Step 4: Simplify right side
    26,278x = 3,325,252,225
  5. Step 5: Solve for x
    x = 3,325,252,225/26,278
  6. Step 6: Final answer
    x = 126,541.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.