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Finding the Third Proportional to 1,670 and 3,438

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Solution

The third proportional to 1,670 and 3,438 is: 7,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670 : 3,438 = 3,438 : x
  2. Step 2: Convert to fraction form
    1,670/3,438 = 3,438/x
  3. Step 3: Cross multiply
    1,670x = 3,438 × 3,438
  4. Step 4: Simplify right side
    1,670x = 11,819,844
  5. Step 5: Solve for x
    x = 11,819,844/1,670
  6. Step 6: Final answer
    x = 7,077.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.