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Finding the Third Proportional to 23,456.25 and 35,385.75

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Solution

The third proportional to 23,456.25 and 35,385.75 is: 53,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.25 : 35,385.75 = 35,385.75 : x
  2. Step 2: Convert to fraction form
    23,456.25/35,385.75 = 35,385.75/x
  3. Step 3: Cross multiply
    23,456.25x = 35,385.75 × 35,385.75
  4. Step 4: Simplify right side
    23,456.25x = 1,252,151,303.06
  5. Step 5: Solve for x
    x = 1,252,151,303.06/23,456.25
  6. Step 6: Final answer
    x = 53,382.42

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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.