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Finding the Third Proportional to 18,416 and 27,576

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Solution

The third proportional to 18,416 and 27,576 is: 41,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,416 : 27,576 = 27,576 : x
  2. Step 2: Convert to fraction form
    18,416/27,576 = 27,576/x
  3. Step 3: Cross multiply
    18,416x = 27,576 × 27,576
  4. Step 4: Simplify right side
    18,416x = 760,435,776
  5. Step 5: Solve for x
    x = 760,435,776/18,416
  6. Step 6: Final answer
    x = 41,292.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.