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Finding the Third Proportional to 29,858 and 62,956

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Solution

The third proportional to 29,858 and 62,956 is: 132,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,858 : 62,956 = 62,956 : x
  2. Step 2: Convert to fraction form
    29,858/62,956 = 62,956/x
  3. Step 3: Cross multiply
    29,858x = 62,956 × 62,956
  4. Step 4: Simplify right side
    29,858x = 3,963,457,936
  5. Step 5: Solve for x
    x = 3,963,457,936/29,858
  6. Step 6: Final answer
    x = 132,743.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.