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Finding the Third Proportional to 20,393 and 30,210

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Solution

The third proportional to 20,393 and 30,210 is: 44,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393 : 30,210 = 30,210 : x
  2. Step 2: Convert to fraction form
    20,393/30,210 = 30,210/x
  3. Step 3: Cross multiply
    20,393x = 30,210 × 30,210
  4. Step 4: Simplify right side
    20,393x = 912,644,100
  5. Step 5: Solve for x
    x = 912,644,100/20,393
  6. Step 6: Final answer
    x = 44,752.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.