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Finding the Third Proportional to 7,485.75 and 10,173.38

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Solution

The third proportional to 7,485.75 and 10,173.38 is: 13,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,485.75 : 10,173.38 = 10,173.38 : x
  2. Step 2: Convert to fraction form
    7,485.75/10,173.38 = 10,173.38/x
  3. Step 3: Cross multiply
    7,485.75x = 10,173.38 × 10,173.38
  4. Step 4: Simplify right side
    7,485.75x = 103,497,558.89
  5. Step 5: Solve for x
    x = 103,497,558.89/7,485.75
  6. Step 6: Final answer
    x = 13,825.94

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.