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Finding the Third Proportional to 7,399.50 and 17,465.25

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Solution

The third proportional to 7,399.50 and 17,465.25 is: 41,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399.50 : 17,465.25 = 17,465.25 : x
  2. Step 2: Convert to fraction form
    7,399.50/17,465.25 = 17,465.25/x
  3. Step 3: Cross multiply
    7,399.50x = 17,465.25 × 17,465.25
  4. Step 4: Simplify right side
    7,399.50x = 305,034,957.56
  5. Step 5: Solve for x
    x = 305,034,957.56/7,399.50
  6. Step 6: Final answer
    x = 41,223.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.