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Finding the Third Proportional to 20,051 and 30,548

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Solution

The third proportional to 20,051 and 30,548 is: 46,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051 : 30,548 = 30,548 : x
  2. Step 2: Convert to fraction form
    20,051/30,548 = 30,548/x
  3. Step 3: Cross multiply
    20,051x = 30,548 × 30,548
  4. Step 4: Simplify right side
    20,051x = 933,180,304
  5. Step 5: Solve for x
    x = 933,180,304/20,051
  6. Step 6: Final answer
    x = 46,540.34

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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.