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Finding the Third Proportional to 10,850 and 16,595

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Solution

The third proportional to 10,850 and 16,595 is: 25,381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850 : 16,595 = 16,595 : x
  2. Step 2: Convert to fraction form
    10,850/16,595 = 16,595/x
  3. Step 3: Cross multiply
    10,850x = 16,595 × 16,595
  4. Step 4: Simplify right side
    10,850x = 275,394,025
  5. Step 5: Solve for x
    x = 275,394,025/10,850
  6. Step 6: Final answer
    x = 25,381.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.