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Finding the Third Proportional to 32,926 and 69,956

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Solution

The third proportional to 32,926 and 69,956 is: 148,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,926 : 69,956 = 69,956 : x
  2. Step 2: Convert to fraction form
    32,926/69,956 = 69,956/x
  3. Step 3: Cross multiply
    32,926x = 69,956 × 69,956
  4. Step 4: Simplify right side
    32,926x = 4,893,841,936
  5. Step 5: Solve for x
    x = 4,893,841,936/32,926
  6. Step 6: Final answer
    x = 148,631.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.