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Finding the Third Proportional to 9,554 and 20,588

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Solution

The third proportional to 9,554 and 20,588 is: 44,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554 : 20,588 = 20,588 : x
  2. Step 2: Convert to fraction form
    9,554/20,588 = 20,588/x
  3. Step 3: Cross multiply
    9,554x = 20,588 × 20,588
  4. Step 4: Simplify right side
    9,554x = 423,865,744
  5. Step 5: Solve for x
    x = 423,865,744/9,554
  6. Step 6: Final answer
    x = 44,365.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.