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Finding the Third Proportional to 26,854 and 55,435

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Solution

The third proportional to 26,854 and 55,435 is: 114,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,854 : 55,435 = 55,435 : x
  2. Step 2: Convert to fraction form
    26,854/55,435 = 55,435/x
  3. Step 3: Cross multiply
    26,854x = 55,435 × 55,435
  4. Step 4: Simplify right side
    26,854x = 3,073,039,225
  5. Step 5: Solve for x
    x = 3,073,039,225/26,854
  6. Step 6: Final answer
    x = 114,435.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.