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Finding the Third Proportional to 8,949 and 13,935

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Solution

The third proportional to 8,949 and 13,935 is: 21,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949 : 13,935 = 13,935 : x
  2. Step 2: Convert to fraction form
    8,949/13,935 = 13,935/x
  3. Step 3: Cross multiply
    8,949x = 13,935 × 13,935
  4. Step 4: Simplify right side
    8,949x = 194,184,225
  5. Step 5: Solve for x
    x = 194,184,225/8,949
  6. Step 6: Final answer
    x = 21,698.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.