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Finding the Third Proportional to 9,834 and 20,620

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Solution

The third proportional to 9,834 and 20,620 is: 43,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834 : 20,620 = 20,620 : x
  2. Step 2: Convert to fraction form
    9,834/20,620 = 20,620/x
  3. Step 3: Cross multiply
    9,834x = 20,620 × 20,620
  4. Step 4: Simplify right side
    9,834x = 425,184,400
  5. Step 5: Solve for x
    x = 425,184,400/9,834
  6. Step 6: Final answer
    x = 43,236.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.