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Finding the Third Proportional to 28,105 and 42,343

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Solution

The third proportional to 28,105 and 42,343 is: 63,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,105 : 42,343 = 42,343 : x
  2. Step 2: Convert to fraction form
    28,105/42,343 = 42,343/x
  3. Step 3: Cross multiply
    28,105x = 42,343 × 42,343
  4. Step 4: Simplify right side
    28,105x = 1,792,929,649
  5. Step 5: Solve for x
    x = 1,792,929,649/28,105
  6. Step 6: Final answer
    x = 63,793.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.