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Finding the Third Proportional to 20,431.50 and 42,927

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Solution

The third proportional to 20,431.50 and 42,927 is: 90,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431.50 : 42,927 = 42,927 : x
  2. Step 2: Convert to fraction form
    20,431.50/42,927 = 42,927/x
  3. Step 3: Cross multiply
    20,431.50x = 42,927 × 42,927
  4. Step 4: Simplify right side
    20,431.50x = 1,842,727,329
  5. Step 5: Solve for x
    x = 1,842,727,329/20,431.50
  6. Step 6: Final answer
    x = 90,190.51

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.