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Finding the Third Proportional to 26,084 and 57,271

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Solution

The third proportional to 26,084 and 57,271 is: 125,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,084 : 57,271 = 57,271 : x
  2. Step 2: Convert to fraction form
    26,084/57,271 = 57,271/x
  3. Step 3: Cross multiply
    26,084x = 57,271 × 57,271
  4. Step 4: Simplify right side
    26,084x = 3,279,967,441
  5. Step 5: Solve for x
    x = 3,279,967,441/26,084
  6. Step 6: Final answer
    x = 125,746.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.