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Finding the Third Proportional to 1,784 and 3,835

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Solution

The third proportional to 1,784 and 3,835 is: 8,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784 : 3,835 = 3,835 : x
  2. Step 2: Convert to fraction form
    1,784/3,835 = 3,835/x
  3. Step 3: Cross multiply
    1,784x = 3,835 × 3,835
  4. Step 4: Simplify right side
    1,784x = 14,707,225
  5. Step 5: Solve for x
    x = 14,707,225/1,784
  6. Step 6: Final answer
    x = 8,243.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.