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Finding the Third Proportional to 27,162 and 42,930

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Solution

The third proportional to 27,162 and 42,930 is: 67,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,162 : 42,930 = 42,930 : x
  2. Step 2: Convert to fraction form
    27,162/42,930 = 42,930/x
  3. Step 3: Cross multiply
    27,162x = 42,930 × 42,930
  4. Step 4: Simplify right side
    27,162x = 1,842,984,900
  5. Step 5: Solve for x
    x = 1,842,984,900/27,162
  6. Step 6: Final answer
    x = 67,851.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.