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Finding the Third Proportional to 20,304 and 30,713

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Solution

The third proportional to 20,304 and 30,713 is: 46,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,304 : 30,713 = 30,713 : x
  2. Step 2: Convert to fraction form
    20,304/30,713 = 30,713/x
  3. Step 3: Cross multiply
    20,304x = 30,713 × 30,713
  4. Step 4: Simplify right side
    20,304x = 943,288,369
  5. Step 5: Solve for x
    x = 943,288,369/20,304
  6. Step 6: Final answer
    x = 46,458.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.