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Finding the Third Proportional to 21,830 and 32,673

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Solution

The third proportional to 21,830 and 32,673 is: 48,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830 : 32,673 = 32,673 : x
  2. Step 2: Convert to fraction form
    21,830/32,673 = 32,673/x
  3. Step 3: Cross multiply
    21,830x = 32,673 × 32,673
  4. Step 4: Simplify right side
    21,830x = 1,067,524,929
  5. Step 5: Solve for x
    x = 1,067,524,929/21,830
  6. Step 6: Final answer
    x = 48,901.74

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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.