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Finding the Third Proportional to 26,017 and 55,983

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Solution

The third proportional to 26,017 and 55,983 is: 120,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,017 : 55,983 = 55,983 : x
  2. Step 2: Convert to fraction form
    26,017/55,983 = 55,983/x
  3. Step 3: Cross multiply
    26,017x = 55,983 × 55,983
  4. Step 4: Simplify right side
    26,017x = 3,134,096,289
  5. Step 5: Solve for x
    x = 3,134,096,289/26,017
  6. Step 6: Final answer
    x = 120,463.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.