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Finding the Third Proportional to 20,538 and 29,095

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Solution

The third proportional to 20,538 and 29,095 is: 41,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 29,095 = 29,095 : x
  2. Step 2: Convert to fraction form
    20,538/29,095 = 29,095/x
  3. Step 3: Cross multiply
    20,538x = 29,095 × 29,095
  4. Step 4: Simplify right side
    20,538x = 846,519,025
  5. Step 5: Solve for x
    x = 846,519,025/20,538
  6. Step 6: Final answer
    x = 41,217.21

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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.