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Finding the Third Proportional to 20,612.25 and 29,118.38

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Solution

The third proportional to 20,612.25 and 29,118.38 is: 41,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,612.25 : 29,118.38 = 29,118.38 : x
  2. Step 2: Convert to fraction form
    20,612.25/29,118.38 = 29,118.38/x
  3. Step 3: Cross multiply
    20,612.25x = 29,118.38 × 29,118.38
  4. Step 4: Simplify right side
    20,612.25x = 847,879,762.64
  5. Step 5: Solve for x
    x = 847,879,762.64/20,612.25
  6. Step 6: Final answer
    x = 41,134.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.