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Finding the Third Proportional to 7,543.25 and 11,436.38

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Solution

The third proportional to 7,543.25 and 11,436.38 is: 17,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.25 : 11,436.38 = 11,436.38 : x
  2. Step 2: Convert to fraction form
    7,543.25/11,436.38 = 11,436.38/x
  3. Step 3: Cross multiply
    7,543.25x = 11,436.38 × 11,436.38
  4. Step 4: Simplify right side
    7,543.25x = 130,790,673.14
  5. Step 5: Solve for x
    x = 130,790,673.14/7,543.25
  6. Step 6: Final answer
    x = 17,338.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.