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Finding the Third Proportional to 3,786 and 7,835

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Solution

The third proportional to 3,786 and 7,835 is: 16,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786 : 7,835 = 7,835 : x
  2. Step 2: Convert to fraction form
    3,786/7,835 = 7,835/x
  3. Step 3: Cross multiply
    3,786x = 7,835 × 7,835
  4. Step 4: Simplify right side
    3,786x = 61,387,225
  5. Step 5: Solve for x
    x = 61,387,225/3,786
  6. Step 6: Final answer
    x = 16,214.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.