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Finding the Third Proportional to 17,894 and 27,863

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Solution

The third proportional to 17,894 and 27,863 is: 43,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894 : 27,863 = 27,863 : x
  2. Step 2: Convert to fraction form
    17,894/27,863 = 27,863/x
  3. Step 3: Cross multiply
    17,894x = 27,863 × 27,863
  4. Step 4: Simplify right side
    17,894x = 776,346,769
  5. Step 5: Solve for x
    x = 776,346,769/17,894
  6. Step 6: Final answer
    x = 43,385.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.