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Finding the Third Proportional to 20,335 and 30,462

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Solution

The third proportional to 20,335 and 30,462 is: 45,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,335 : 30,462 = 30,462 : x
  2. Step 2: Convert to fraction form
    20,335/30,462 = 30,462/x
  3. Step 3: Cross multiply
    20,335x = 30,462 × 30,462
  4. Step 4: Simplify right side
    20,335x = 927,933,444
  5. Step 5: Solve for x
    x = 927,933,444/20,335
  6. Step 6: Final answer
    x = 45,632.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.