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Finding the Third Proportional to 23,357.25 and 35,314.88

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Solution

The third proportional to 23,357.25 and 35,314.88 is: 53,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,357.25 : 35,314.88 = 35,314.88 : x
  2. Step 2: Convert to fraction form
    23,357.25/35,314.88 = 35,314.88/x
  3. Step 3: Cross multiply
    23,357.25x = 35,314.88 × 35,314.88
  4. Step 4: Simplify right side
    23,357.25x = 1,247,140,396.27
  5. Step 5: Solve for x
    x = 1,247,140,396.27/23,357.25
  6. Step 6: Final answer
    x = 53,394.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.