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Finding the Third Proportional to 15,735 and 23,517

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Solution

The third proportional to 15,735 and 23,517 is: 35,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735 : 23,517 = 23,517 : x
  2. Step 2: Convert to fraction form
    15,735/23,517 = 23,517/x
  3. Step 3: Cross multiply
    15,735x = 23,517 × 23,517
  4. Step 4: Simplify right side
    15,735x = 553,049,289
  5. Step 5: Solve for x
    x = 553,049,289/15,735
  6. Step 6: Final answer
    x = 35,147.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.