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Finding the Third Proportional to 10,367 and 24,367

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Solution

The third proportional to 10,367 and 24,367 is: 57,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367 : 24,367 = 24,367 : x
  2. Step 2: Convert to fraction form
    10,367/24,367 = 24,367/x
  3. Step 3: Cross multiply
    10,367x = 24,367 × 24,367
  4. Step 4: Simplify right side
    10,367x = 593,750,689
  5. Step 5: Solve for x
    x = 593,750,689/10,367
  6. Step 6: Final answer
    x = 57,273.14

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.