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Finding the Third Proportional to 7,912.69 and 18,559.13

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Solution

The third proportional to 7,912.69 and 18,559.13 is: 43,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.69 : 18,559.13 = 18,559.13 : x
  2. Step 2: Convert to fraction form
    7,912.69/18,559.13 = 18,559.13/x
  3. Step 3: Cross multiply
    7,912.69x = 18,559.13 × 18,559.13
  4. Step 4: Simplify right side
    7,912.69x = 344,441,120.77
  5. Step 5: Solve for x
    x = 344,441,120.77/7,912.69
  6. Step 6: Final answer
    x = 43,530.23

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.