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Finding the Third Proportional to 23,269 and 35,963

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Solution

The third proportional to 23,269 and 35,963 is: 55,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,269 : 35,963 = 35,963 : x
  2. Step 2: Convert to fraction form
    23,269/35,963 = 35,963/x
  3. Step 3: Cross multiply
    23,269x = 35,963 × 35,963
  4. Step 4: Simplify right side
    23,269x = 1,293,337,369
  5. Step 5: Solve for x
    x = 1,293,337,369/23,269
  6. Step 6: Final answer
    x = 55,581.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.