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Finding the Third Proportional to 1,970 and 2,764

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Solution

The third proportional to 1,970 and 2,764 is: 3,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970 : 2,764 = 2,764 : x
  2. Step 2: Convert to fraction form
    1,970/2,764 = 2,764/x
  3. Step 3: Cross multiply
    1,970x = 2,764 × 2,764
  4. Step 4: Simplify right side
    1,970x = 7,639,696
  5. Step 5: Solve for x
    x = 7,639,696/1,970
  6. Step 6: Final answer
    x = 3,878.02

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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.