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Finding the Third Proportional to 9,946 and 21,834

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Solution

The third proportional to 9,946 and 21,834 is: 47,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946 : 21,834 = 21,834 : x
  2. Step 2: Convert to fraction form
    9,946/21,834 = 21,834/x
  3. Step 3: Cross multiply
    9,946x = 21,834 × 21,834
  4. Step 4: Simplify right side
    9,946x = 476,723,556
  5. Step 5: Solve for x
    x = 476,723,556/9,946
  6. Step 6: Final answer
    x = 47,931.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.