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Finding the Third Proportional to 27,828 and 35,260

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Solution

The third proportional to 27,828 and 35,260 is: 44,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828 : 35,260 = 35,260 : x
  2. Step 2: Convert to fraction form
    27,828/35,260 = 35,260/x
  3. Step 3: Cross multiply
    27,828x = 35,260 × 35,260
  4. Step 4: Simplify right side
    27,828x = 1,243,267,600
  5. Step 5: Solve for x
    x = 1,243,267,600/27,828
  6. Step 6: Final answer
    x = 44,676.86

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.