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Finding the Third Proportional to 9,451 and 20,543

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Solution

The third proportional to 9,451 and 20,543 is: 44,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451 : 20,543 = 20,543 : x
  2. Step 2: Convert to fraction form
    9,451/20,543 = 20,543/x
  3. Step 3: Cross multiply
    9,451x = 20,543 × 20,543
  4. Step 4: Simplify right side
    9,451x = 422,014,849
  5. Step 5: Solve for x
    x = 422,014,849/9,451
  6. Step 6: Final answer
    x = 44,652.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.