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Finding the Third Proportional to 26,016 and 55,271

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Solution

The third proportional to 26,016 and 55,271 is: 117,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,016 : 55,271 = 55,271 : x
  2. Step 2: Convert to fraction form
    26,016/55,271 = 55,271/x
  3. Step 3: Cross multiply
    26,016x = 55,271 × 55,271
  4. Step 4: Simplify right side
    26,016x = 3,054,883,441
  5. Step 5: Solve for x
    x = 3,054,883,441/26,016
  6. Step 6: Final answer
    x = 117,423.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.