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Finding the Third Proportional to 27,228 and 43,434

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Solution

The third proportional to 27,228 and 43,434 is: 69,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,228 : 43,434 = 43,434 : x
  2. Step 2: Convert to fraction form
    27,228/43,434 = 43,434/x
  3. Step 3: Cross multiply
    27,228x = 43,434 × 43,434
  4. Step 4: Simplify right side
    27,228x = 1,886,512,356
  5. Step 5: Solve for x
    x = 1,886,512,356/27,228
  6. Step 6: Final answer
    x = 69,285.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.