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Finding the Third Proportional to 17,640.28 and 24,725.25

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Solution

The third proportional to 17,640.28 and 24,725.25 is: 34,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.28 : 24,725.25 = 24,725.25 : x
  2. Step 2: Convert to fraction form
    17,640.28/24,725.25 = 24,725.25/x
  3. Step 3: Cross multiply
    17,640.28x = 24,725.25 × 24,725.25
  4. Step 4: Simplify right side
    17,640.28x = 611,337,987.56
  5. Step 5: Solve for x
    x = 611,337,987.56/17,640.28
  6. Step 6: Final answer
    x = 34,655.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.