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Finding the Third Proportional to 19,976 and 28,774

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Solution

The third proportional to 19,976 and 28,774 is: 41,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976 : 28,774 = 28,774 : x
  2. Step 2: Convert to fraction form
    19,976/28,774 = 28,774/x
  3. Step 3: Cross multiply
    19,976x = 28,774 × 28,774
  4. Step 4: Simplify right side
    19,976x = 827,943,076
  5. Step 5: Solve for x
    x = 827,943,076/19,976
  6. Step 6: Final answer
    x = 41,446.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.