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Finding the Third Proportional to 8,072 and 15,028

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Solution

The third proportional to 8,072 and 15,028 is: 27,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072 : 15,028 = 15,028 : x
  2. Step 2: Convert to fraction form
    8,072/15,028 = 15,028/x
  3. Step 3: Cross multiply
    8,072x = 15,028 × 15,028
  4. Step 4: Simplify right side
    8,072x = 225,840,784
  5. Step 5: Solve for x
    x = 225,840,784/8,072
  6. Step 6: Final answer
    x = 27,978.29

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.