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Finding the Third Proportional to 18,522 and 37,732

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Solution

The third proportional to 18,522 and 37,732 is: 76,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522 : 37,732 = 37,732 : x
  2. Step 2: Convert to fraction form
    18,522/37,732 = 37,732/x
  3. Step 3: Cross multiply
    18,522x = 37,732 × 37,732
  4. Step 4: Simplify right side
    18,522x = 1,423,703,824
  5. Step 5: Solve for x
    x = 1,423,703,824/18,522
  6. Step 6: Final answer
    x = 76,865.56

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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.