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Finding the Third Proportional to 23,865 and 35,781

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Solution

The third proportional to 23,865 and 35,781 is: 53,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,865 : 35,781 = 35,781 : x
  2. Step 2: Convert to fraction form
    23,865/35,781 = 35,781/x
  3. Step 3: Cross multiply
    23,865x = 35,781 × 35,781
  4. Step 4: Simplify right side
    23,865x = 1,280,279,961
  5. Step 5: Solve for x
    x = 1,280,279,961/23,865
  6. Step 6: Final answer
    x = 53,646.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.