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Finding the Third Proportional to 1,786 and 4,231

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Solution

The third proportional to 1,786 and 4,231 is: 10,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786 : 4,231 = 4,231 : x
  2. Step 2: Convert to fraction form
    1,786/4,231 = 4,231/x
  3. Step 3: Cross multiply
    1,786x = 4,231 × 4,231
  4. Step 4: Simplify right side
    1,786x = 17,901,361
  5. Step 5: Solve for x
    x = 17,901,361/1,786
  6. Step 6: Final answer
    x = 10,023.16

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.