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Finding the Third Proportional to 15,612 and 21,194

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Solution

The third proportional to 15,612 and 21,194 is: 28,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,612 : 21,194 = 21,194 : x
  2. Step 2: Convert to fraction form
    15,612/21,194 = 21,194/x
  3. Step 3: Cross multiply
    15,612x = 21,194 × 21,194
  4. Step 4: Simplify right side
    15,612x = 449,185,636
  5. Step 5: Solve for x
    x = 449,185,636/15,612
  6. Step 6: Final answer
    x = 28,771.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.