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Finding the Third Proportional to 10,450.50 and 22,605.25

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Solution

The third proportional to 10,450.50 and 22,605.25 is: 48,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.50 : 22,605.25 = 22,605.25 : x
  2. Step 2: Convert to fraction form
    10,450.50/22,605.25 = 22,605.25/x
  3. Step 3: Cross multiply
    10,450.50x = 22,605.25 × 22,605.25
  4. Step 4: Simplify right side
    10,450.50x = 510,997,327.56
  5. Step 5: Solve for x
    x = 510,997,327.56/10,450.50
  6. Step 6: Final answer
    x = 48,896.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.