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Finding the Third Proportional to 32,926 and 71,444

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Solution

The third proportional to 32,926 and 71,444 is: 155,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,926 : 71,444 = 71,444 : x
  2. Step 2: Convert to fraction form
    32,926/71,444 = 71,444/x
  3. Step 3: Cross multiply
    32,926x = 71,444 × 71,444
  4. Step 4: Simplify right side
    32,926x = 5,104,245,136
  5. Step 5: Solve for x
    x = 5,104,245,136/32,926
  6. Step 6: Final answer
    x = 155,021.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.