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Finding the Third Proportional to 24,032 and 49,907

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Solution

The third proportional to 24,032 and 49,907 is: 103,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032 : 49,907 = 49,907 : x
  2. Step 2: Convert to fraction form
    24,032/49,907 = 49,907/x
  3. Step 3: Cross multiply
    24,032x = 49,907 × 49,907
  4. Step 4: Simplify right side
    24,032x = 2,490,708,649
  5. Step 5: Solve for x
    x = 2,490,708,649/24,032
  6. Step 6: Final answer
    x = 103,641.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.