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Finding the Third Proportional to 11,742 and 24,696

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Solution

The third proportional to 11,742 and 24,696 is: 51,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742 : 24,696 = 24,696 : x
  2. Step 2: Convert to fraction form
    11,742/24,696 = 24,696/x
  3. Step 3: Cross multiply
    11,742x = 24,696 × 24,696
  4. Step 4: Simplify right side
    11,742x = 609,892,416
  5. Step 5: Solve for x
    x = 609,892,416/11,742
  6. Step 6: Final answer
    x = 51,941.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.