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Finding the Third Proportional to 20,421 and 30,630

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Solution

The third proportional to 20,421 and 30,630 is: 45,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,421 : 30,630 = 30,630 : x
  2. Step 2: Convert to fraction form
    20,421/30,630 = 30,630/x
  3. Step 3: Cross multiply
    20,421x = 30,630 × 30,630
  4. Step 4: Simplify right side
    20,421x = 938,196,900
  5. Step 5: Solve for x
    x = 938,196,900/20,421
  6. Step 6: Final answer
    x = 45,942.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.