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Finding the Third Proportional to 20,306 and 30,855

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Solution

The third proportional to 20,306 and 30,855 is: 46,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306 : 30,855 = 30,855 : x
  2. Step 2: Convert to fraction form
    20,306/30,855 = 30,855/x
  3. Step 3: Cross multiply
    20,306x = 30,855 × 30,855
  4. Step 4: Simplify right side
    20,306x = 952,031,025
  5. Step 5: Solve for x
    x = 952,031,025/20,306
  6. Step 6: Final answer
    x = 46,884.22

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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.