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Finding the Third Proportional to 27,193 and 42,023

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Solution

The third proportional to 27,193 and 42,023 is: 64,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,193 : 42,023 = 42,023 : x
  2. Step 2: Convert to fraction form
    27,193/42,023 = 42,023/x
  3. Step 3: Cross multiply
    27,193x = 42,023 × 42,023
  4. Step 4: Simplify right side
    27,193x = 1,765,932,529
  5. Step 5: Solve for x
    x = 1,765,932,529/27,193
  6. Step 6: Final answer
    x = 64,940.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.