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Finding the Third Proportional to 7,091.45 and 10,825.71

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Solution

The third proportional to 7,091.45 and 10,825.71 is: 16,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.45 : 10,825.71 = 10,825.71 : x
  2. Step 2: Convert to fraction form
    7,091.45/10,825.71 = 10,825.71/x
  3. Step 3: Cross multiply
    7,091.45x = 10,825.71 × 10,825.71
  4. Step 4: Simplify right side
    7,091.45x = 117,195,998.47
  5. Step 5: Solve for x
    x = 117,195,998.47/7,091.45
  6. Step 6: Final answer
    x = 16,526.38

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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.