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Finding the Third Proportional to 29,177 and 44,111

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Solution

The third proportional to 29,177 and 44,111 is: 66,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,177 : 44,111 = 44,111 : x
  2. Step 2: Convert to fraction form
    29,177/44,111 = 44,111/x
  3. Step 3: Cross multiply
    29,177x = 44,111 × 44,111
  4. Step 4: Simplify right side
    29,177x = 1,945,780,321
  5. Step 5: Solve for x
    x = 1,945,780,321/29,177
  6. Step 6: Final answer
    x = 66,688.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.