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Finding the Third Proportional to 10,158 and 20,595

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Solution

The third proportional to 10,158 and 20,595 is: 41,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158 : 20,595 = 20,595 : x
  2. Step 2: Convert to fraction form
    10,158/20,595 = 20,595/x
  3. Step 3: Cross multiply
    10,158x = 20,595 × 20,595
  4. Step 4: Simplify right side
    10,158x = 424,154,025
  5. Step 5: Solve for x
    x = 424,154,025/10,158
  6. Step 6: Final answer
    x = 41,755.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.