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Finding the Third Proportional to 18,102 and 37,356

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Solution

The third proportional to 18,102 and 37,356 is: 77,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102 : 37,356 = 37,356 : x
  2. Step 2: Convert to fraction form
    18,102/37,356 = 37,356/x
  3. Step 3: Cross multiply
    18,102x = 37,356 × 37,356
  4. Step 4: Simplify right side
    18,102x = 1,395,470,736
  5. Step 5: Solve for x
    x = 1,395,470,736/18,102
  6. Step 6: Final answer
    x = 77,089.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.