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Finding the Third Proportional to 20,051 and 30,549

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Solution

The third proportional to 20,051 and 30,549 is: 46,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051 : 30,549 = 30,549 : x
  2. Step 2: Convert to fraction form
    20,051/30,549 = 30,549/x
  3. Step 3: Cross multiply
    20,051x = 30,549 × 30,549
  4. Step 4: Simplify right side
    20,051x = 933,241,401
  5. Step 5: Solve for x
    x = 933,241,401/20,051
  6. Step 6: Final answer
    x = 46,543.38

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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.