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Finding the Third Proportional to 2,178 and 3,762

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Solution

The third proportional to 2,178 and 3,762 is: 6,498

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178 : 3,762 = 3,762 : x
  2. Step 2: Convert to fraction form
    2,178/3,762 = 3,762/x
  3. Step 3: Cross multiply
    2,178x = 3,762 × 3,762
  4. Step 4: Simplify right side
    2,178x = 14,152,644
  5. Step 5: Solve for x
    x = 14,152,644/2,178
  6. Step 6: Final answer
    x = 6,498

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.