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Finding the Third Proportional to 23,592 and 35,690

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Solution

The third proportional to 23,592 and 35,690 is: 53,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,592 : 35,690 = 35,690 : x
  2. Step 2: Convert to fraction form
    23,592/35,690 = 35,690/x
  3. Step 3: Cross multiply
    23,592x = 35,690 × 35,690
  4. Step 4: Simplify right side
    23,592x = 1,273,776,100
  5. Step 5: Solve for x
    x = 1,273,776,100/23,592
  6. Step 6: Final answer
    x = 53,991.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.