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Finding the Third Proportional to 8,469 and 12,765.94

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Solution

The third proportional to 8,469 and 12,765.94 is: 19,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469 : 12,765.94 = 12,765.94 : x
  2. Step 2: Convert to fraction form
    8,469/12,765.94 = 12,765.94/x
  3. Step 3: Cross multiply
    8,469x = 12,765.94 × 12,765.94
  4. Step 4: Simplify right side
    8,469x = 162,969,160.25
  5. Step 5: Solve for x
    x = 162,969,160.25/8,469
  6. Step 6: Final answer
    x = 19,243.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.