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Finding the Third Proportional to 4,387.69 and 9,519.56

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Solution

The third proportional to 4,387.69 and 9,519.56 is: 20,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.69 : 9,519.56 = 9,519.56 : x
  2. Step 2: Convert to fraction form
    4,387.69/9,519.56 = 9,519.56/x
  3. Step 3: Cross multiply
    4,387.69x = 9,519.56 × 9,519.56
  4. Step 4: Simplify right side
    4,387.69x = 90,622,070.19
  5. Step 5: Solve for x
    x = 90,622,070.19/4,387.69
  6. Step 6: Final answer
    x = 20,653.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.