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Finding the Third Proportional to 20,467.50 and 42,999

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Solution

The third proportional to 20,467.50 and 42,999 is: 90,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,467.50 : 42,999 = 42,999 : x
  2. Step 2: Convert to fraction form
    20,467.50/42,999 = 42,999/x
  3. Step 3: Cross multiply
    20,467.50x = 42,999 × 42,999
  4. Step 4: Simplify right side
    20,467.50x = 1,848,914,001
  5. Step 5: Solve for x
    x = 1,848,914,001/20,467.50
  6. Step 6: Final answer
    x = 90,334.14

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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.