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Finding the Third Proportional to 9,652 and 20,488

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Solution

The third proportional to 9,652 and 20,488 is: 43,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652 : 20,488 = 20,488 : x
  2. Step 2: Convert to fraction form
    9,652/20,488 = 20,488/x
  3. Step 3: Cross multiply
    9,652x = 20,488 × 20,488
  4. Step 4: Simplify right side
    9,652x = 419,758,144
  5. Step 5: Solve for x
    x = 419,758,144/9,652
  6. Step 6: Final answer
    x = 43,489.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.