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Finding the Third Proportional to 26,073 and 55,378

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Solution

The third proportional to 26,073 and 55,378 is: 117,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,073 : 55,378 = 55,378 : x
  2. Step 2: Convert to fraction form
    26,073/55,378 = 55,378/x
  3. Step 3: Cross multiply
    26,073x = 55,378 × 55,378
  4. Step 4: Simplify right side
    26,073x = 3,066,722,884
  5. Step 5: Solve for x
    x = 3,066,722,884/26,073
  6. Step 6: Final answer
    x = 117,620.64

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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.