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Finding the Third Proportional to 26,448 and 57,254

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Solution

The third proportional to 26,448 and 57,254 is: 123,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,448 : 57,254 = 57,254 : x
  2. Step 2: Convert to fraction form
    26,448/57,254 = 57,254/x
  3. Step 3: Cross multiply
    26,448x = 57,254 × 57,254
  4. Step 4: Simplify right side
    26,448x = 3,278,020,516
  5. Step 5: Solve for x
    x = 3,278,020,516/26,448
  6. Step 6: Final answer
    x = 123,942.09

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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.