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Finding the Third Proportional to 9,659 and 20,155

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Solution

The third proportional to 9,659 and 20,155 is: 42,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659 : 20,155 = 20,155 : x
  2. Step 2: Convert to fraction form
    9,659/20,155 = 20,155/x
  3. Step 3: Cross multiply
    9,659x = 20,155 × 20,155
  4. Step 4: Simplify right side
    9,659x = 406,224,025
  5. Step 5: Solve for x
    x = 406,224,025/9,659
  6. Step 6: Final answer
    x = 42,056.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.