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Finding the Third Proportional to 7,145.72 and 10,665.42

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Solution

The third proportional to 7,145.72 and 10,665.42 is: 15,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.72 : 10,665.42 = 10,665.42 : x
  2. Step 2: Convert to fraction form
    7,145.72/10,665.42 = 10,665.42/x
  3. Step 3: Cross multiply
    7,145.72x = 10,665.42 × 10,665.42
  4. Step 4: Simplify right side
    7,145.72x = 113,751,223.77
  5. Step 5: Solve for x
    x = 113,751,223.77/7,145.72
  6. Step 6: Final answer
    x = 15,918.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.