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Finding the Third Proportional to 29,810 and 41,774

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Solution

The third proportional to 29,810 and 41,774 is: 58,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810 : 41,774 = 41,774 : x
  2. Step 2: Convert to fraction form
    29,810/41,774 = 41,774/x
  3. Step 3: Cross multiply
    29,810x = 41,774 × 41,774
  4. Step 4: Simplify right side
    29,810x = 1,745,067,076
  5. Step 5: Solve for x
    x = 1,745,067,076/29,810
  6. Step 6: Final answer
    x = 58,539.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.