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Finding the Third Proportional to 11,520 and 24,677

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Solution

The third proportional to 11,520 and 24,677 is: 52,860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520 : 24,677 = 24,677 : x
  2. Step 2: Convert to fraction form
    11,520/24,677 = 24,677/x
  3. Step 3: Cross multiply
    11,520x = 24,677 × 24,677
  4. Step 4: Simplify right side
    11,520x = 608,954,329
  5. Step 5: Solve for x
    x = 608,954,329/11,520
  6. Step 6: Final answer
    x = 52,860.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.