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Finding the Third Proportional to 23,856.75 and 37,892.25

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Solution

The third proportional to 23,856.75 and 37,892.25 is: 60,185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.75 : 37,892.25 = 37,892.25 : x
  2. Step 2: Convert to fraction form
    23,856.75/37,892.25 = 37,892.25/x
  3. Step 3: Cross multiply
    23,856.75x = 37,892.25 × 37,892.25
  4. Step 4: Simplify right side
    23,856.75x = 1,435,822,610.06
  5. Step 5: Solve for x
    x = 1,435,822,610.06/23,856.75
  6. Step 6: Final answer
    x = 60,185.17

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.