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Finding the Third Proportional to 3,140 and 3,668

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Solution

The third proportional to 3,140 and 3,668 is: 4,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140 : 3,668 = 3,668 : x
  2. Step 2: Convert to fraction form
    3,140/3,668 = 3,668/x
  3. Step 3: Cross multiply
    3,140x = 3,668 × 3,668
  4. Step 4: Simplify right side
    3,140x = 13,454,224
  5. Step 5: Solve for x
    x = 13,454,224/3,140
  6. Step 6: Final answer
    x = 4,284.78

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.