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Finding the Third Proportional to 21,796 and 32,610

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Solution

The third proportional to 21,796 and 32,610 is: 48,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796 : 32,610 = 32,610 : x
  2. Step 2: Convert to fraction form
    21,796/32,610 = 32,610/x
  3. Step 3: Cross multiply
    21,796x = 32,610 × 32,610
  4. Step 4: Simplify right side
    21,796x = 1,063,412,100
  5. Step 5: Solve for x
    x = 1,063,412,100/21,796
  6. Step 6: Final answer
    x = 48,789.32

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