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Finding the Third Proportional to 23,648.25 and 35,267.25

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Solution

The third proportional to 23,648.25 and 35,267.25 is: 52,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.25 : 35,267.25 = 35,267.25 : x
  2. Step 2: Convert to fraction form
    23,648.25/35,267.25 = 35,267.25/x
  3. Step 3: Cross multiply
    23,648.25x = 35,267.25 × 35,267.25
  4. Step 4: Simplify right side
    23,648.25x = 1,243,778,922.56
  5. Step 5: Solve for x
    x = 1,243,778,922.56/23,648.25
  6. Step 6: Final answer
    x = 52,594.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.