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Finding the Third Proportional to 9,306 and 20,446

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Solution

The third proportional to 9,306 and 20,446 is: 44,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306 : 20,446 = 20,446 : x
  2. Step 2: Convert to fraction form
    9,306/20,446 = 20,446/x
  3. Step 3: Cross multiply
    9,306x = 20,446 × 20,446
  4. Step 4: Simplify right side
    9,306x = 418,038,916
  5. Step 5: Solve for x
    x = 418,038,916/9,306
  6. Step 6: Final answer
    x = 44,921.44

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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.