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Finding the Third Proportional to 18,042 and 37,464

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Solution

The third proportional to 18,042 and 37,464 is: 77,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042 : 37,464 = 37,464 : x
  2. Step 2: Convert to fraction form
    18,042/37,464 = 37,464/x
  3. Step 3: Cross multiply
    18,042x = 37,464 × 37,464
  4. Step 4: Simplify right side
    18,042x = 1,403,551,296
  5. Step 5: Solve for x
    x = 1,403,551,296/18,042
  6. Step 6: Final answer
    x = 77,793.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.