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Finding the Third Proportional to 32,926 and 52,305

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Solution

The third proportional to 32,926 and 52,305 is: 83,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,926 : 52,305 = 52,305 : x
  2. Step 2: Convert to fraction form
    32,926/52,305 = 52,305/x
  3. Step 3: Cross multiply
    32,926x = 52,305 × 52,305
  4. Step 4: Simplify right side
    32,926x = 2,735,813,025
  5. Step 5: Solve for x
    x = 2,735,813,025/32,926
  6. Step 6: Final answer
    x = 83,089.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.