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Finding the Third Proportional to 20,175 and 40,431

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Solution

The third proportional to 20,175 and 40,431 is: 81,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175 : 40,431 = 40,431 : x
  2. Step 2: Convert to fraction form
    20,175/40,431 = 40,431/x
  3. Step 3: Cross multiply
    20,175x = 40,431 × 40,431
  4. Step 4: Simplify right side
    20,175x = 1,634,665,761
  5. Step 5: Solve for x
    x = 1,634,665,761/20,175
  6. Step 6: Final answer
    x = 81,024.33

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.