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Finding the Third Proportional to 7,949 and 16,915

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Solution

The third proportional to 7,949 and 16,915 is: 35,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949 : 16,915 = 16,915 : x
  2. Step 2: Convert to fraction form
    7,949/16,915 = 16,915/x
  3. Step 3: Cross multiply
    7,949x = 16,915 × 16,915
  4. Step 4: Simplify right side
    7,949x = 286,117,225
  5. Step 5: Solve for x
    x = 286,117,225/7,949
  6. Step 6: Final answer
    x = 35,994.12

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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.