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Finding the Third Proportional to 16,830 and 21,912.75

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Solution

The third proportional to 16,830 and 21,912.75 is: 28,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830 : 21,912.75 = 21,912.75 : x
  2. Step 2: Convert to fraction form
    16,830/21,912.75 = 21,912.75/x
  3. Step 3: Cross multiply
    16,830x = 21,912.75 × 21,912.75
  4. Step 4: Simplify right side
    16,830x = 480,168,612.56
  5. Step 5: Solve for x
    x = 480,168,612.56/16,830
  6. Step 6: Final answer
    x = 28,530.52

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.