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Finding the Third Proportional to 13,354.13 and 20,759.25

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Solution

The third proportional to 13,354.13 and 20,759.25 is: 32,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.13 : 20,759.25 = 20,759.25 : x
  2. Step 2: Convert to fraction form
    13,354.13/20,759.25 = 20,759.25/x
  3. Step 3: Cross multiply
    13,354.13x = 20,759.25 × 20,759.25
  4. Step 4: Simplify right side
    13,354.13x = 430,946,460.56
  5. Step 5: Solve for x
    x = 430,946,460.56/13,354.13
  6. Step 6: Final answer
    x = 32,270.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.