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Finding the Third Proportional to 29,756 and 61,973

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Solution

The third proportional to 29,756 and 61,973 is: 129,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756 : 61,973 = 61,973 : x
  2. Step 2: Convert to fraction form
    29,756/61,973 = 61,973/x
  3. Step 3: Cross multiply
    29,756x = 61,973 × 61,973
  4. Step 4: Simplify right side
    29,756x = 3,840,652,729
  5. Step 5: Solve for x
    x = 3,840,652,729/29,756
  6. Step 6: Final answer
    x = 129,071.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.