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Finding the Third Proportional to 23,035.50 and 32,892.75

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Solution

The third proportional to 23,035.50 and 32,892.75 is: 46,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,035.50 : 32,892.75 = 32,892.75 : x
  2. Step 2: Convert to fraction form
    23,035.50/32,892.75 = 32,892.75/x
  3. Step 3: Cross multiply
    23,035.50x = 32,892.75 × 32,892.75
  4. Step 4: Simplify right side
    23,035.50x = 1,081,933,002.56
  5. Step 5: Solve for x
    x = 1,081,933,002.56/23,035.50
  6. Step 6: Final answer
    x = 46,968.07

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.