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Finding the Third Proportional to 7,535.25 and 11,478.38

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Solution

The third proportional to 7,535.25 and 11,478.38 is: 17,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.25 : 11,478.38 = 11,478.38 : x
  2. Step 2: Convert to fraction form
    7,535.25/11,478.38 = 11,478.38/x
  3. Step 3: Cross multiply
    7,535.25x = 11,478.38 × 11,478.38
  4. Step 4: Simplify right side
    7,535.25x = 131,753,092.64
  5. Step 5: Solve for x
    x = 131,753,092.64/7,535.25
  6. Step 6: Final answer
    x = 17,484.90

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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.