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Finding the Third Proportional to 11,650 and 16,494

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Solution

The third proportional to 11,650 and 16,494 is: 23,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650 : 16,494 = 16,494 : x
  2. Step 2: Convert to fraction form
    11,650/16,494 = 16,494/x
  3. Step 3: Cross multiply
    11,650x = 16,494 × 16,494
  4. Step 4: Simplify right side
    11,650x = 272,052,036
  5. Step 5: Solve for x
    x = 272,052,036/11,650
  6. Step 6: Final answer
    x = 23,352.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.