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Finding the Third Proportional to 6,825 and 10,434.75

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Solution

The third proportional to 6,825 and 10,434.75 is: 15,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825 : 10,434.75 = 10,434.75 : x
  2. Step 2: Convert to fraction form
    6,825/10,434.75 = 10,434.75/x
  3. Step 3: Cross multiply
    6,825x = 10,434.75 × 10,434.75
  4. Step 4: Simplify right side
    6,825x = 108,884,007.56
  5. Step 5: Solve for x
    x = 108,884,007.56/6,825
  6. Step 6: Final answer
    x = 15,953.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.