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Finding the Third Proportional to 36,768 and 51,984

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Solution

The third proportional to 36,768 and 51,984 is: 73,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,768 : 51,984 = 51,984 : x
  2. Step 2: Convert to fraction form
    36,768/51,984 = 51,984/x
  3. Step 3: Cross multiply
    36,768x = 51,984 × 51,984
  4. Step 4: Simplify right side
    36,768x = 2,702,336,256
  5. Step 5: Solve for x
    x = 2,702,336,256/36,768
  6. Step 6: Final answer
    x = 73,496.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.