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Finding the Third Proportional to 30,668 and 45,732

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Solution

The third proportional to 30,668 and 45,732 is: 68,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668 : 45,732 = 45,732 : x
  2. Step 2: Convert to fraction form
    30,668/45,732 = 45,732/x
  3. Step 3: Cross multiply
    30,668x = 45,732 × 45,732
  4. Step 4: Simplify right side
    30,668x = 2,091,415,824
  5. Step 5: Solve for x
    x = 2,091,415,824/30,668
  6. Step 6: Final answer
    x = 68,195.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.