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Finding the Third Proportional to 12,966.75 and 20,584.13

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Solution

The third proportional to 12,966.75 and 20,584.13 is: 32,676.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.75 : 20,584.13 = 20,584.13 : x
  2. Step 2: Convert to fraction form
    12,966.75/20,584.13 = 20,584.13/x
  3. Step 3: Cross multiply
    12,966.75x = 20,584.13 × 20,584.13
  4. Step 4: Simplify right side
    12,966.75x = 423,706,202.02
  5. Step 5: Solve for x
    x = 423,706,202.02/12,966.75
  6. Step 6: Final answer
    x = 32,676.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.