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Finding the Third Proportional to 24,122 and 50,062

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Solution

The third proportional to 24,122 and 50,062 is: 103,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122 : 50,062 = 50,062 : x
  2. Step 2: Convert to fraction form
    24,122/50,062 = 50,062/x
  3. Step 3: Cross multiply
    24,122x = 50,062 × 50,062
  4. Step 4: Simplify right side
    24,122x = 2,506,203,844
  5. Step 5: Solve for x
    x = 2,506,203,844/24,122
  6. Step 6: Final answer
    x = 103,897.02

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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.