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Finding the Third Proportional to 18,278 and 37,852

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Solution

The third proportional to 18,278 and 37,852 is: 78,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,278 : 37,852 = 37,852 : x
  2. Step 2: Convert to fraction form
    18,278/37,852 = 37,852/x
  3. Step 3: Cross multiply
    18,278x = 37,852 × 37,852
  4. Step 4: Simplify right side
    18,278x = 1,432,773,904
  5. Step 5: Solve for x
    x = 1,432,773,904/18,278
  6. Step 6: Final answer
    x = 78,387.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.