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Finding the Third Proportional to 20,514 and 43,201

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Solution

The third proportional to 20,514 and 43,201 is: 90,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514 : 43,201 = 43,201 : x
  2. Step 2: Convert to fraction form
    20,514/43,201 = 43,201/x
  3. Step 3: Cross multiply
    20,514x = 43,201 × 43,201
  4. Step 4: Simplify right side
    20,514x = 1,866,326,401
  5. Step 5: Solve for x
    x = 1,866,326,401/20,514
  6. Step 6: Final answer
    x = 90,978.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.