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Finding the Third Proportional to 24,416 and 49,984

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Solution

The third proportional to 24,416 and 49,984 is: 102,326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416 : 49,984 = 49,984 : x
  2. Step 2: Convert to fraction form
    24,416/49,984 = 49,984/x
  3. Step 3: Cross multiply
    24,416x = 49,984 × 49,984
  4. Step 4: Simplify right side
    24,416x = 2,498,400,256
  5. Step 5: Solve for x
    x = 2,498,400,256/24,416
  6. Step 6: Final answer
    x = 102,326.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.