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Finding the Third Proportional to 9,305 and 20,453

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Solution

The third proportional to 9,305 and 20,453 is: 44,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305 : 20,453 = 20,453 : x
  2. Step 2: Convert to fraction form
    9,305/20,453 = 20,453/x
  3. Step 3: Cross multiply
    9,305x = 20,453 × 20,453
  4. Step 4: Simplify right side
    9,305x = 418,325,209
  5. Step 5: Solve for x
    x = 418,325,209/9,305
  6. Step 6: Final answer
    x = 44,957.03

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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.