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Finding the Third Proportional to 26,934 and 54,964

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Solution

The third proportional to 26,934 and 54,964 is: 112,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,934 : 54,964 = 54,964 : x
  2. Step 2: Convert to fraction form
    26,934/54,964 = 54,964/x
  3. Step 3: Cross multiply
    26,934x = 54,964 × 54,964
  4. Step 4: Simplify right side
    26,934x = 3,021,041,296
  5. Step 5: Solve for x
    x = 3,021,041,296/26,934
  6. Step 6: Final answer
    x = 112,164.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.