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Finding the Third Proportional to 9,588 and 18,636

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Solution

The third proportional to 9,588 and 18,636 is: 36,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588 : 18,636 = 18,636 : x
  2. Step 2: Convert to fraction form
    9,588/18,636 = 18,636/x
  3. Step 3: Cross multiply
    9,588x = 18,636 × 18,636
  4. Step 4: Simplify right side
    9,588x = 347,300,496
  5. Step 5: Solve for x
    x = 347,300,496/9,588
  6. Step 6: Final answer
    x = 36,222.41

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.