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Finding the Third Proportional to 12,962 and 27,765.50

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Solution

The third proportional to 12,962 and 27,765.50 is: 59,475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962 : 27,765.50 = 27,765.50 : x
  2. Step 2: Convert to fraction form
    12,962/27,765.50 = 27,765.50/x
  3. Step 3: Cross multiply
    12,962x = 27,765.50 × 27,765.50
  4. Step 4: Simplify right side
    12,962x = 770,922,990.25
  5. Step 5: Solve for x
    x = 770,922,990.25/12,962
  6. Step 6: Final answer
    x = 59,475.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.