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Finding the Third Proportional to 24,142 and 50,998

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Solution

The third proportional to 24,142 and 50,998 is: 107,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142 : 50,998 = 50,998 : x
  2. Step 2: Convert to fraction form
    24,142/50,998 = 50,998/x
  3. Step 3: Cross multiply
    24,142x = 50,998 × 50,998
  4. Step 4: Simplify right side
    24,142x = 2,600,796,004
  5. Step 5: Solve for x
    x = 2,600,796,004/24,142
  6. Step 6: Final answer
    x = 107,729.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.