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Finding the Third Proportional to 17,776 and 27,120

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Solution

The third proportional to 17,776 and 27,120 is: 41,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776 : 27,120 = 27,120 : x
  2. Step 2: Convert to fraction form
    17,776/27,120 = 27,120/x
  3. Step 3: Cross multiply
    17,776x = 27,120 × 27,120
  4. Step 4: Simplify right side
    17,776x = 735,494,400
  5. Step 5: Solve for x
    x = 735,494,400/17,776
  6. Step 6: Final answer
    x = 41,375.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.