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Finding the Third Proportional to 24,845 and 36,929

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Solution

The third proportional to 24,845 and 36,929 is: 54,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,845 : 36,929 = 36,929 : x
  2. Step 2: Convert to fraction form
    24,845/36,929 = 36,929/x
  3. Step 3: Cross multiply
    24,845x = 36,929 × 36,929
  4. Step 4: Simplify right side
    24,845x = 1,363,751,041
  5. Step 5: Solve for x
    x = 1,363,751,041/24,845
  6. Step 6: Final answer
    x = 54,890.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.