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Finding the Third Proportional to 4,455.28 and 7,007.48

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Solution

The third proportional to 4,455.28 and 7,007.48 is: 11,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455.28 : 7,007.48 = 7,007.48 : x
  2. Step 2: Convert to fraction form
    4,455.28/7,007.48 = 7,007.48/x
  3. Step 3: Cross multiply
    4,455.28x = 7,007.48 × 7,007.48
  4. Step 4: Simplify right side
    4,455.28x = 49,104,837.27
  5. Step 5: Solve for x
    x = 49,104,837.27/4,455.28
  6. Step 6: Final answer
    x = 11,021.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.