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Finding the Third Proportional to 10,340 and 24,662

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Solution

The third proportional to 10,340 and 24,662 is: 58,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340 : 24,662 = 24,662 : x
  2. Step 2: Convert to fraction form
    10,340/24,662 = 24,662/x
  3. Step 3: Cross multiply
    10,340x = 24,662 × 24,662
  4. Step 4: Simplify right side
    10,340x = 608,214,244
  5. Step 5: Solve for x
    x = 608,214,244/10,340
  6. Step 6: Final answer
    x = 58,821.49

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.