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Finding the Third Proportional to 11,902 and 27,557

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Solution

The third proportional to 11,902 and 27,557 is: 63,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902 : 27,557 = 27,557 : x
  2. Step 2: Convert to fraction form
    11,902/27,557 = 27,557/x
  3. Step 3: Cross multiply
    11,902x = 27,557 × 27,557
  4. Step 4: Simplify right side
    11,902x = 759,388,249
  5. Step 5: Solve for x
    x = 759,388,249/11,902
  6. Step 6: Final answer
    x = 63,803.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.