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Finding the Third Proportional to 18,505.75 and 40,170.25

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Solution

The third proportional to 18,505.75 and 40,170.25 is: 87,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,505.75 : 40,170.25 = 40,170.25 : x
  2. Step 2: Convert to fraction form
    18,505.75/40,170.25 = 40,170.25/x
  3. Step 3: Cross multiply
    18,505.75x = 40,170.25 × 40,170.25
  4. Step 4: Simplify right side
    18,505.75x = 1,613,648,985.06
  5. Step 5: Solve for x
    x = 1,613,648,985.06/18,505.75
  6. Step 6: Final answer
    x = 87,197.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.