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Finding the Third Proportional to 5,739 and 12,072

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Solution

The third proportional to 5,739 and 12,072 is: 25,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739 : 12,072 = 12,072 : x
  2. Step 2: Convert to fraction form
    5,739/12,072 = 12,072/x
  3. Step 3: Cross multiply
    5,739x = 12,072 × 12,072
  4. Step 4: Simplify right side
    5,739x = 145,733,184
  5. Step 5: Solve for x
    x = 145,733,184/5,739
  6. Step 6: Final answer
    x = 25,393.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.