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Finding the Third Proportional to 7,563.38 and 10,365.47

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Solution

The third proportional to 7,563.38 and 10,365.47 is: 14,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.38 : 10,365.47 = 10,365.47 : x
  2. Step 2: Convert to fraction form
    7,563.38/10,365.47 = 10,365.47/x
  3. Step 3: Cross multiply
    7,563.38x = 10,365.47 × 10,365.47
  4. Step 4: Simplify right side
    7,563.38x = 107,442,942.41
  5. Step 5: Solve for x
    x = 107,442,942.41/7,563.38
  6. Step 6: Final answer
    x = 14,205.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.