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Finding the Third Proportional to 22,967.25 and 34,450.50

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Solution

The third proportional to 22,967.25 and 34,450.50 is: 51,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.25 : 34,450.50 = 34,450.50 : x
  2. Step 2: Convert to fraction form
    22,967.25/34,450.50 = 34,450.50/x
  3. Step 3: Cross multiply
    22,967.25x = 34,450.50 × 34,450.50
  4. Step 4: Simplify right side
    22,967.25x = 1,186,836,950.25
  5. Step 5: Solve for x
    x = 1,186,836,950.25/22,967.25
  6. Step 6: Final answer
    x = 51,675.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.