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Finding the Third Proportional to 26,289 and 57,434

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Solution

The third proportional to 26,289 and 57,434 is: 125,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,289 : 57,434 = 57,434 : x
  2. Step 2: Convert to fraction form
    26,289/57,434 = 57,434/x
  3. Step 3: Cross multiply
    26,289x = 57,434 × 57,434
  4. Step 4: Simplify right side
    26,289x = 3,298,664,356
  5. Step 5: Solve for x
    x = 3,298,664,356/26,289
  6. Step 6: Final answer
    x = 125,476.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.