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Finding the Third Proportional to 24,858 and 36,794

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Solution

The third proportional to 24,858 and 36,794 is: 54,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858 : 36,794 = 36,794 : x
  2. Step 2: Convert to fraction form
    24,858/36,794 = 36,794/x
  3. Step 3: Cross multiply
    24,858x = 36,794 × 36,794
  4. Step 4: Simplify right side
    24,858x = 1,353,798,436
  5. Step 5: Solve for x
    x = 1,353,798,436/24,858
  6. Step 6: Final answer
    x = 54,461.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.