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Finding the Third Proportional to 32,396 and 52,899.75

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Solution

The third proportional to 32,396 and 52,899.75 is: 86,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,396 : 52,899.75 = 52,899.75 : x
  2. Step 2: Convert to fraction form
    32,396/52,899.75 = 52,899.75/x
  3. Step 3: Cross multiply
    32,396x = 52,899.75 × 52,899.75
  4. Step 4: Simplify right side
    32,396x = 2,798,383,550.06
  5. Step 5: Solve for x
    x = 2,798,383,550.06/32,396
  6. Step 6: Final answer
    x = 86,380.53

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.