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Finding the Third Proportional to 29,104 and 43,898

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Solution

The third proportional to 29,104 and 43,898 is: 66,212.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,104 : 43,898 = 43,898 : x
  2. Step 2: Convert to fraction form
    29,104/43,898 = 43,898/x
  3. Step 3: Cross multiply
    29,104x = 43,898 × 43,898
  4. Step 4: Simplify right side
    29,104x = 1,927,034,404
  5. Step 5: Solve for x
    x = 1,927,034,404/29,104
  6. Step 6: Final answer
    x = 66,212.01

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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.