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Finding the Third Proportional to 6,940 and 10,165

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Solution

The third proportional to 6,940 and 10,165 is: 14,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940 : 10,165 = 10,165 : x
  2. Step 2: Convert to fraction form
    6,940/10,165 = 10,165/x
  3. Step 3: Cross multiply
    6,940x = 10,165 × 10,165
  4. Step 4: Simplify right side
    6,940x = 103,327,225
  5. Step 5: Solve for x
    x = 103,327,225/6,940
  6. Step 6: Final answer
    x = 14,888.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.