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Finding the Third Proportional to 7,434 and 10,125.56

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Solution

The third proportional to 7,434 and 10,125.56 is: 13,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434 : 10,125.56 = 10,125.56 : x
  2. Step 2: Convert to fraction form
    7,434/10,125.56 = 10,125.56/x
  3. Step 3: Cross multiply
    7,434x = 10,125.56 × 10,125.56
  4. Step 4: Simplify right side
    7,434x = 102,527,015.94
  5. Step 5: Solve for x
    x = 102,527,015.94/7,434
  6. Step 6: Final answer
    x = 13,791.64

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Why These Related Problems?

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