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Finding the Third Proportional to 11,306 and 16,795

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Solution

The third proportional to 11,306 and 16,795 is: 24,948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306 : 16,795 = 16,795 : x
  2. Step 2: Convert to fraction form
    11,306/16,795 = 16,795/x
  3. Step 3: Cross multiply
    11,306x = 16,795 × 16,795
  4. Step 4: Simplify right side
    11,306x = 282,072,025
  5. Step 5: Solve for x
    x = 282,072,025/11,306
  6. Step 6: Final answer
    x = 24,948.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.