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Finding the Third Proportional to 24,819 and 54,006

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Solution

The third proportional to 24,819 and 54,006 is: 117,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,819 : 54,006 = 54,006 : x
  2. Step 2: Convert to fraction form
    24,819/54,006 = 54,006/x
  3. Step 3: Cross multiply
    24,819x = 54,006 × 54,006
  4. Step 4: Simplify right side
    24,819x = 2,916,648,036
  5. Step 5: Solve for x
    x = 2,916,648,036/24,819
  6. Step 6: Final answer
    x = 117,516.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.