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Finding the Third Proportional to 23,388.75 and 31,752

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Solution

The third proportional to 23,388.75 and 31,752 is: 43,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,388.75 : 31,752 = 31,752 : x
  2. Step 2: Convert to fraction form
    23,388.75/31,752 = 31,752/x
  3. Step 3: Cross multiply
    23,388.75x = 31,752 × 31,752
  4. Step 4: Simplify right side
    23,388.75x = 1,008,189,504
  5. Step 5: Solve for x
    x = 1,008,189,504/23,388.75
  6. Step 6: Final answer
    x = 43,105.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.