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Finding the Third Proportional to 36,954.38 and 57,072

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Solution

The third proportional to 36,954.38 and 57,072 is: 88,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,954.38 : 57,072 = 57,072 : x
  2. Step 2: Convert to fraction form
    36,954.38/57,072 = 57,072/x
  3. Step 3: Cross multiply
    36,954.38x = 57,072 × 57,072
  4. Step 4: Simplify right side
    36,954.38x = 3,257,213,184
  5. Step 5: Solve for x
    x = 3,257,213,184/36,954.38
  6. Step 6: Final answer
    x = 88,141.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.