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Finding the Third Proportional to 24,635 and 37,907

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Solution

The third proportional to 24,635 and 37,907 is: 58,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,635 : 37,907 = 37,907 : x
  2. Step 2: Convert to fraction form
    24,635/37,907 = 37,907/x
  3. Step 3: Cross multiply
    24,635x = 37,907 × 37,907
  4. Step 4: Simplify right side
    24,635x = 1,436,940,649
  5. Step 5: Solve for x
    x = 1,436,940,649/24,635
  6. Step 6: Final answer
    x = 58,329.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.