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Finding the Third Proportional to 15,072 and 31,872

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Solution

The third proportional to 15,072 and 31,872 is: 67,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072 : 31,872 = 31,872 : x
  2. Step 2: Convert to fraction form
    15,072/31,872 = 31,872/x
  3. Step 3: Cross multiply
    15,072x = 31,872 × 31,872
  4. Step 4: Simplify right side
    15,072x = 1,015,824,384
  5. Step 5: Solve for x
    x = 1,015,824,384/15,072
  6. Step 6: Final answer
    x = 67,398.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.