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Finding the Third Proportional to 26,371 and 42,845

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Solution

The third proportional to 26,371 and 42,845 is: 69,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,371 : 42,845 = 42,845 : x
  2. Step 2: Convert to fraction form
    26,371/42,845 = 42,845/x
  3. Step 3: Cross multiply
    26,371x = 42,845 × 42,845
  4. Step 4: Simplify right side
    26,371x = 1,835,694,025
  5. Step 5: Solve for x
    x = 1,835,694,025/26,371
  6. Step 6: Final answer
    x = 69,610.33

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.