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Finding the Third Proportional to 3,178 and 4,435

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Solution

The third proportional to 3,178 and 4,435 is: 6,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178 : 4,435 = 4,435 : x
  2. Step 2: Convert to fraction form
    3,178/4,435 = 4,435/x
  3. Step 3: Cross multiply
    3,178x = 4,435 × 4,435
  4. Step 4: Simplify right side
    3,178x = 19,669,225
  5. Step 5: Solve for x
    x = 19,669,225/3,178
  6. Step 6: Final answer
    x = 6,189.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.