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Finding the Third Proportional to 9,908 and 20,635

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Solution

The third proportional to 9,908 and 20,635 is: 42,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908 : 20,635 = 20,635 : x
  2. Step 2: Convert to fraction form
    9,908/20,635 = 20,635/x
  3. Step 3: Cross multiply
    9,908x = 20,635 × 20,635
  4. Step 4: Simplify right side
    9,908x = 425,803,225
  5. Step 5: Solve for x
    x = 425,803,225/9,908
  6. Step 6: Final answer
    x = 42,975.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.