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Finding the Third Proportional to 1,652 and 3,970

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Solution

The third proportional to 1,652 and 3,970 is: 9,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652 : 3,970 = 3,970 : x
  2. Step 2: Convert to fraction form
    1,652/3,970 = 3,970/x
  3. Step 3: Cross multiply
    1,652x = 3,970 × 3,970
  4. Step 4: Simplify right side
    1,652x = 15,760,900
  5. Step 5: Solve for x
    x = 15,760,900/1,652
  6. Step 6: Final answer
    x = 9,540.50

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.