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Finding the Third Proportional to 26,400 and 57,354

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Solution

The third proportional to 26,400 and 57,354 is: 124,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,400 : 57,354 = 57,354 : x
  2. Step 2: Convert to fraction form
    26,400/57,354 = 57,354/x
  3. Step 3: Cross multiply
    26,400x = 57,354 × 57,354
  4. Step 4: Simplify right side
    26,400x = 3,289,481,316
  5. Step 5: Solve for x
    x = 3,289,481,316/26,400
  6. Step 6: Final answer
    x = 124,601.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.