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Finding the Third Proportional to 23,975.25 and 35,498.25

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Solution

The third proportional to 23,975.25 and 35,498.25 is: 52,559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,975.25 : 35,498.25 = 35,498.25 : x
  2. Step 2: Convert to fraction form
    23,975.25/35,498.25 = 35,498.25/x
  3. Step 3: Cross multiply
    23,975.25x = 35,498.25 × 35,498.25
  4. Step 4: Simplify right side
    23,975.25x = 1,260,125,753.06
  5. Step 5: Solve for x
    x = 1,260,125,753.06/23,975.25
  6. Step 6: Final answer
    x = 52,559.44

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.