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Finding the Third Proportional to 7,476.38 and 11,609.63

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Solution

The third proportional to 7,476.38 and 11,609.63 is: 18,027.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.38 : 11,609.63 = 11,609.63 : x
  2. Step 2: Convert to fraction form
    7,476.38/11,609.63 = 11,609.63/x
  3. Step 3: Cross multiply
    7,476.38x = 11,609.63 × 11,609.63
  4. Step 4: Simplify right side
    7,476.38x = 134,783,392.64
  5. Step 5: Solve for x
    x = 134,783,392.64/7,476.38
  6. Step 6: Final answer
    x = 18,027.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.