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Finding the Third Proportional to 17,785 and 27,446

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Solution

The third proportional to 17,785 and 27,446 is: 42,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785 : 27,446 = 27,446 : x
  2. Step 2: Convert to fraction form
    17,785/27,446 = 27,446/x
  3. Step 3: Cross multiply
    17,785x = 27,446 × 27,446
  4. Step 4: Simplify right side
    17,785x = 753,282,916
  5. Step 5: Solve for x
    x = 753,282,916/17,785
  6. Step 6: Final answer
    x = 42,354.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.