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Finding the Third Proportional to 26,471 and 57,205

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Solution

The third proportional to 26,471 and 57,205 is: 123,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,471 : 57,205 = 57,205 : x
  2. Step 2: Convert to fraction form
    26,471/57,205 = 57,205/x
  3. Step 3: Cross multiply
    26,471x = 57,205 × 57,205
  4. Step 4: Simplify right side
    26,471x = 3,272,412,025
  5. Step 5: Solve for x
    x = 3,272,412,025/26,471
  6. Step 6: Final answer
    x = 123,622.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.