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Finding the Third Proportional to 8,935 and 14,161

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Solution

The third proportional to 8,935 and 14,161 is: 22,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935 : 14,161 = 14,161 : x
  2. Step 2: Convert to fraction form
    8,935/14,161 = 14,161/x
  3. Step 3: Cross multiply
    8,935x = 14,161 × 14,161
  4. Step 4: Simplify right side
    8,935x = 200,533,921
  5. Step 5: Solve for x
    x = 200,533,921/8,935
  6. Step 6: Final answer
    x = 22,443.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.