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Finding the Third Proportional to 1,970 and 2,813

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Solution

The third proportional to 1,970 and 2,813 is: 4,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970 : 2,813 = 2,813 : x
  2. Step 2: Convert to fraction form
    1,970/2,813 = 2,813/x
  3. Step 3: Cross multiply
    1,970x = 2,813 × 2,813
  4. Step 4: Simplify right side
    1,970x = 7,912,969
  5. Step 5: Solve for x
    x = 7,912,969/1,970
  6. Step 6: Final answer
    x = 4,016.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.