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Finding the Third Proportional to 27,072 and 30,960

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Solution

The third proportional to 27,072 and 30,960 is: 35,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072 : 30,960 = 30,960 : x
  2. Step 2: Convert to fraction form
    27,072/30,960 = 30,960/x
  3. Step 3: Cross multiply
    27,072x = 30,960 × 30,960
  4. Step 4: Simplify right side
    27,072x = 958,521,600
  5. Step 5: Solve for x
    x = 958,521,600/27,072
  6. Step 6: Final answer
    x = 35,406.38

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.