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Finding the Third Proportional to 9,682 and 14,485

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Solution

The third proportional to 9,682 and 14,485 is: 21,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682 : 14,485 = 14,485 : x
  2. Step 2: Convert to fraction form
    9,682/14,485 = 14,485/x
  3. Step 3: Cross multiply
    9,682x = 14,485 × 14,485
  4. Step 4: Simplify right side
    9,682x = 209,815,225
  5. Step 5: Solve for x
    x = 209,815,225/9,682
  6. Step 6: Final answer
    x = 21,670.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.