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Finding the Third Proportional to 28,226 and 44,013

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Solution

The third proportional to 28,226 and 44,013 is: 68,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,226 : 44,013 = 44,013 : x
  2. Step 2: Convert to fraction form
    28,226/44,013 = 44,013/x
  3. Step 3: Cross multiply
    28,226x = 44,013 × 44,013
  4. Step 4: Simplify right side
    28,226x = 1,937,144,169
  5. Step 5: Solve for x
    x = 1,937,144,169/28,226
  6. Step 6: Final answer
    x = 68,629.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.