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Finding the Third Proportional to 10,755 and 16,295

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Solution

The third proportional to 10,755 and 16,295 is: 24,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755 : 16,295 = 16,295 : x
  2. Step 2: Convert to fraction form
    10,755/16,295 = 16,295/x
  3. Step 3: Cross multiply
    10,755x = 16,295 × 16,295
  4. Step 4: Simplify right side
    10,755x = 265,527,025
  5. Step 5: Solve for x
    x = 265,527,025/10,755
  6. Step 6: Final answer
    x = 24,688.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.