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Finding the Third Proportional to 23,516 and 35,517

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Solution

The third proportional to 23,516 and 35,517 is: 53,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,516 : 35,517 = 35,517 : x
  2. Step 2: Convert to fraction form
    23,516/35,517 = 35,517/x
  3. Step 3: Cross multiply
    23,516x = 35,517 × 35,517
  4. Step 4: Simplify right side
    23,516x = 1,261,457,289
  5. Step 5: Solve for x
    x = 1,261,457,289/23,516
  6. Step 6: Final answer
    x = 53,642.51

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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.