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Finding the Third Proportional to 4,292 and 10,322

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Solution

The third proportional to 4,292 and 10,322 is: 24,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292 : 10,322 = 10,322 : x
  2. Step 2: Convert to fraction form
    4,292/10,322 = 10,322/x
  3. Step 3: Cross multiply
    4,292x = 10,322 × 10,322
  4. Step 4: Simplify right side
    4,292x = 106,543,684
  5. Step 5: Solve for x
    x = 106,543,684/4,292
  6. Step 6: Final answer
    x = 24,823.78

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.