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Finding the Third Proportional to 29,986 and 44,736

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Solution

The third proportional to 29,986 and 44,736 is: 66,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,986 : 44,736 = 44,736 : x
  2. Step 2: Convert to fraction form
    29,986/44,736 = 44,736/x
  3. Step 3: Cross multiply
    29,986x = 44,736 × 44,736
  4. Step 4: Simplify right side
    29,986x = 2,001,309,696
  5. Step 5: Solve for x
    x = 2,001,309,696/29,986
  6. Step 6: Final answer
    x = 66,741.47

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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.