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Finding the Third Proportional to 26,017 and 55,275

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Solution

The third proportional to 26,017 and 55,275 is: 117,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,017 : 55,275 = 55,275 : x
  2. Step 2: Convert to fraction form
    26,017/55,275 = 55,275/x
  3. Step 3: Cross multiply
    26,017x = 55,275 × 55,275
  4. Step 4: Simplify right side
    26,017x = 3,055,325,625
  5. Step 5: Solve for x
    x = 3,055,325,625/26,017
  6. Step 6: Final answer
    x = 117,435.74

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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.