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Finding the Third Proportional to 24,107 and 50,038

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Solution

The third proportional to 24,107 and 50,038 is: 103,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107 : 50,038 = 50,038 : x
  2. Step 2: Convert to fraction form
    24,107/50,038 = 50,038/x
  3. Step 3: Cross multiply
    24,107x = 50,038 × 50,038
  4. Step 4: Simplify right side
    24,107x = 2,503,801,444
  5. Step 5: Solve for x
    x = 2,503,801,444/24,107
  6. Step 6: Final answer
    x = 103,862.01

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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.