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Finding the Third Proportional to 36,192 and 57,445

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Solution

The third proportional to 36,192 and 57,445 is: 91,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,192 : 57,445 = 57,445 : x
  2. Step 2: Convert to fraction form
    36,192/57,445 = 57,445/x
  3. Step 3: Cross multiply
    36,192x = 57,445 × 57,445
  4. Step 4: Simplify right side
    36,192x = 3,299,928,025
  5. Step 5: Solve for x
    x = 3,299,928,025/36,192
  6. Step 6: Final answer
    x = 91,178.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.