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Finding the Third Proportional to 18,528 and 37,744

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Solution

The third proportional to 18,528 and 37,744 is: 76,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,528 : 37,744 = 37,744 : x
  2. Step 2: Convert to fraction form
    18,528/37,744 = 37,744/x
  3. Step 3: Cross multiply
    18,528x = 37,744 × 37,744
  4. Step 4: Simplify right side
    18,528x = 1,424,609,536
  5. Step 5: Solve for x
    x = 1,424,609,536/18,528
  6. Step 6: Final answer
    x = 76,889.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.