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Finding the Third Proportional to 8,409 and 14,935

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Solution

The third proportional to 8,409 and 14,935 is: 26,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409 : 14,935 = 14,935 : x
  2. Step 2: Convert to fraction form
    8,409/14,935 = 14,935/x
  3. Step 3: Cross multiply
    8,409x = 14,935 × 14,935
  4. Step 4: Simplify right side
    8,409x = 223,054,225
  5. Step 5: Solve for x
    x = 223,054,225/8,409
  6. Step 6: Final answer
    x = 26,525.65

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.