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Finding the Third Proportional to 28,476.56 and 37,794.09

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Solution

The third proportional to 28,476.56 and 37,794.09 is: 50,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,476.56 : 37,794.09 = 37,794.09 : x
  2. Step 2: Convert to fraction form
    28,476.56/37,794.09 = 37,794.09/x
  3. Step 3: Cross multiply
    28,476.56x = 37,794.09 × 37,794.09
  4. Step 4: Simplify right side
    28,476.56x = 1,428,393,522.38
  5. Step 5: Solve for x
    x = 1,428,393,522.38/28,476.56
  6. Step 6: Final answer
    x = 50,160.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.