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Finding the Third Proportional to 7,940 and 16,935

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Solution

The third proportional to 7,940 and 16,935 is: 36,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940 : 16,935 = 16,935 : x
  2. Step 2: Convert to fraction form
    7,940/16,935 = 16,935/x
  3. Step 3: Cross multiply
    7,940x = 16,935 × 16,935
  4. Step 4: Simplify right side
    7,940x = 286,794,225
  5. Step 5: Solve for x
    x = 286,794,225/7,940
  6. Step 6: Final answer
    x = 36,120.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.