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Finding the Third Proportional to 20,441.25 and 29,988.75

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Solution

The third proportional to 20,441.25 and 29,988.75 is: 43,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,441.25 : 29,988.75 = 29,988.75 : x
  2. Step 2: Convert to fraction form
    20,441.25/29,988.75 = 29,988.75/x
  3. Step 3: Cross multiply
    20,441.25x = 29,988.75 × 29,988.75
  4. Step 4: Simplify right side
    20,441.25x = 899,325,126.56
  5. Step 5: Solve for x
    x = 899,325,126.56/20,441.25
  6. Step 6: Final answer
    x = 43,995.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.